Tutors Answer Your Questions about Probabilityandstatistics (FREE)
Question 775862: Question 1 (7 marks = Tables (2 marks) + Graphs (3 marks) + Numerical (1 mark) + Summary comments (1 mark))
You are a data analyst working for the Australian Petrol Pricing Commissioner and have been requested to provide a comprehensive statistical summary of the NSW fuel price data (FUEL_2011nsw). Furthermore, you are to comparepetrol and diesel prices. How you do this is up to you, however you should include relevant tables, graphs, and numerical summary measures presented in a professional style.You should also summarise your findings on the fuel prices in two or three sentences.
Question 2(4marks = 1 + 1 + 1 +1)
The Melbourne Cup, held on the first Tuesday in November, has 24 horses entered in it.
a. What is the probability of winning a prize in an office sweep (where horses are randomly allocated), if prizes are given for first, second and third places?
b. In a trifecta three horses are selected to finish first, second and third in the correct order. How many possible trifectas are there in the Melbourne Cup?
c. How many combinations of the horses winninga place (first, second or third) are not trifectas? That is, the selected horses finish first, second and third but not in the correct order.
d. Suppose you have a sweep ticket (where horses are randomly allocated) for the trifecta. What is your probability of winning the major prize (the trifecta) or a consolation prize (having three winning horses but in the wrong order)?
Question 3(6marks = 1 + 1 + 1 + 1 + 1 + 1)
In a certain weekday television show, the winning contestant has to choose randomly from 20 boxes, one of which contains a major prize of $100,000.
a. What is the probability that, during a week (i.e., Monday to Friday  five shows per week),
i. No contestants win the major prize?
ii. Exactly one contestant wins the major prize?
iii. No more than two contestants win the major prize?
iv. At least three contestants win the major prize?
b. Calculate the expected number and standard deviation of the winners in a week.
c. How much should the producers budget for major prizes per week?
Question 4(4marks = 0.5 + 1 + 1 + 1.5)
The State fire service has recently set up a specialist rescue unit to respond to road traffic accidents in the area surrounding a small country town. The rescue unit has been in operation for 60 weeks and has been called out 120 times to attend road traffic accidents. The weekly pattern of call out has a Poisson distribution. Find the:
a. Mean demand per week
b. Probability that the rescue unit will be called out in a week
c. Probability that the rescue unit is called out at least twice in a week
d. Probability that the rescue unit is called out at least once in a two week period.
Question 5(4marks = 1 + 1 + 1 + 1)
The weight of potato chip packets is normally distributed with a mean of 510g and a standard deviation of 20g.
a. Find the probability that a packet of chips will be below the labelled weight of 500g.
b. A packet can only contain 550g otherwise it will overflow. Find the probability of a packet overflowing.
c. The lightest 5% of packets are rejected at quality control. At what weight does this occur?
d. What is the minimum weight of a packet that is in the heaviest 5%?
Click here to see answer by psbhowmick(868) 
Question 775803: dear sir,i want answers of these 21 problems..please help me reply me in my email with the answers.
Please check units of measurements in the answers, so that you don't run into trouble with autograding. If you are asked to provide the answer as a percent, and your answer is 90%, please enter 90 but not 90%, nor 0.9, nor 9/10, etc.
Please use the 5% cutoff for Pvalues unless otherwise instructed in the problem.
A statistician analyzing a randomized controlled experiment has tested Null: The treatment does nothing. Alternative: The treatment does something. using a 4% cutoff for Pvalues. The Pvalue of the test turns out to be about 1.8%.
Problem 3 (1 point possible)
First, I will use a simple decision rule: if fewer than half the tosses are heads, I will choose p=0.3; if more than half the tosses are heads, I will choose p=0.6.
The significance level of this test is ____________%.
unanswered
Problem 4 (1 point possible)
The power of the test in Problem 3 is ____________%.
unanswered
Problem 5 (1 point possible)
Suppose I want to create a new decision rule that says, “If the number of heads is less than H, then I will choose p=0.3; otherwise I will choose p=0.6.” Here H is an integer in the range 0 through 15. Is it possible for me to choose H so that the new test has a smaller significance level as well as a higher power than the test in Problem 3? Maybe; there is not enough information to decide. Yes. No.
In a simple random sample of 400 households taken in a large city, 57% of the households contain exactly two people in them; these are called “twoperson” households. Construct an approximate 85% confidence interval for the percent of twoperson households in the city, and provide the endpoints of the intervals in Problems 67. Problem 8 continues the analysis of this sample.
Problem 6 (2 points possible)
The left endpoint of the interval is about __________%.
unanswered
Problem 7 (2 points possible)
The right endpoint of the interval is about __________%.
unanswered
Problem 8 (3 points possible)
Another statistician uses the same sample to construct a confidence interval for the percent of twoperson households in the city. The interval goes from 52.5% to 61.5%.
The confidence level of this interval is about ________ %.
unanswered
In a population of over 15,000 patients, the distribution of systolic blood pressure follows the normal curve. Investigators believe the average systolic blood pressure in the population is 120 mm. The investigators take a simple random sample of 6 patients from this population. The systolic blood pressure measurements of these patients have an average of 113.5 mm and an SD (computed with 6 in the denominator) of 12.2 mm. Is the average systolic blood pressure in the population lower than the investigators think? Or is this just chance variation? Answer following the steps in
Problems 913.
Problem 9 (0/1.0 points)
The null hypothesis is: The average blood pressure in the population is 120 mm. Status: correct The average blood pressure in the population is less than 120 mm. The average blood pressure in the population is not equal to 120 mm.
Problem 10 (2 points possible)
The approximate distribution of the test statistic is (pick the best option) binomial Status: incorrect hypergeometric normal t chisquare
Problem 11 (1 point possible)
The test is onetailed twotailed ?
Problem 12 (3 points possible)
The Pvalue of the test is approximately _______%
unanswered
Problem 13 (1 point possible)
“The test supports what the investigators think.”
The quoted statement is True False ?
A simple random sample of 1000 freshmen is taken from among freshmen at all private universities in a state. On average, the sampled freshmen worked for 9.2 hours in the week before the survey, with an SD of 9.9 hours. [Here "worked" means "worked for pay".]
Problem 14 (1 point possible)
The interval “8.6 hours to 9.8 hours” is an approximate 95% confidence interval for the average number of hours worked in the week before the survey by freshmen in the sample. at all private universities in the state.
Problem 15 (2 points possible)
In the week before the survey, about 2.5% of the freshmen in the sample worked more than _______hours. Pick the best option. 29 9.8 NA (that is, unknown based on the given information)
Problem 16 (2 points possible)
Because the sample size is large, the Central Limit Theorem says that the _________ is roughly normal. Fill in the blank with the best option. histogram of hours worked in the week before the survey by the sampled freshmen histogram of hours worked in the week before the survey by freshmen at all private universities in the state. probability histogram of the average number of hours worked in the week before the survey by a simple random sample of 1000 freshmen taken from private universities in the state probability histogram of the average number of hours worked in the week before the survey by freshmen at all private universities in the state
A statistician believes that in her town each child born has a 50% chance of being a girl, independently of all other children. There are 281 threechild families in her town; 39 of these families have no girls, 94 have one girl, 115 have two girls, and the remaining 33 have three girls.
Say whether the data support the statistician’s belief, by following the steps in Problems 1722.
Problem 17 (2 points possible)
If the statistician’s belief is correct, the probability that a threechild family in the town will have exactly one girl is ______%.
unanswered
Problem 18 (1 point possible)
If the statistician’s belief is correct, then among the threechild families in the town what is the expected number of families that have exactly one girl?
unanswered
Problem 19 (2 points possible)
If the statistician’s belief is correct, then among the threechild families in the town what is the expected number of families that have no girls?
unanswered
Problem 20 (1 point possible)
To test whether the data support the statistician’s belief, the appropriate test statistic to use roughly follows a ___________ distribution. normal t chisquare
Problem 21 (3 points possible)
The Pvalue of the appropriate test is about ________%.
unanswered
Problem 22
The conclusion of the test is that the data support the statistician’s belief. Status: correct do not support the statistician’s belief. You have used 1 of 1 submissions
One year, a simple random sample of 1,000 U.S. 10yearolds was taken. The children were studied for the entire year. At the beginning of the year the sampled children had an average weight of 70 pounds with an SD of 15 pounds. At the end of the year their weights averaged 75 pounds and the SD was 14.5 pounds. The correlation between their weights at beginning and end of the year was 0.8.
Problem 23 (2 points possible)
An approximate 90% confidence interval for the yearend weight of U.S. 10yearolds that year is 75 pounds plus or minus about _______ pounds. Fill in the blank with the best of the options below. NA (this blank cannot be filled in with the information given) 0.45 0.75 0.9 24 28
Problem 24 (3 points possible)
Define the weight gain of a child to be “end of year weight  beginning of year weight”. The gain is negative if the child weighs less at the end of the year than at the beginning.
An approximate 95% confidence interval for the average weight gain of U.S. 10yearolds that year is 5 pounds plus or minus about ________ pounds. Fill in the blank with the best of the options below. NA (this blank cannot be filled in with the information given) 0.15 0.3 0.6 9 18 21
Click here to see answer by JamesButler(1) 
Question 776274: According to the World Boxing Council (WBC), of the 28 professional female matches fought in the 2year period from the start of 2005 to end of 2006, 7 of these were won by Technical Knock Out (TKO). If a betting company wanted to know what the probability of at least two TKO in the first ten matches of 2008 was, what answer would you give?
a) 0.19
b) 0.24
c) 0.76
d) 0.94
e) None of the above
Click here to see answer by oscargut(2071) 
Question 776267: in a certain town, 40% of the people have brown hair, 25% have brown eyes,and 15% have both brown hair and brown eyes. a person is selected at a random from the town. if he has brown eyes, what is the probability that he does not have brown hair?
Click here to see answer by oscargut(2071) 
Question 776317: is 40 years old. He asks you to test his thinking. You collect a sample of 50 customers and found that the average age is 38.7. Assuming that the population standard deviation is 12.5 years and using α = 0.05, test your manager's hypothesis. What is your conclusion?
H0
μ = 40
H1
μ < 40
Click here to see answer by oscargut(2071) 
Question 776317: is 40 years old. He asks you to test his thinking. You collect a sample of 50 customers and found that the average age is 38.7. Assuming that the population standard deviation is 12.5 years and using α = 0.05, test your manager's hypothesis. What is your conclusion?
H0
μ = 40
H1
μ < 40
Click here to see answer by AnlytcPhil(1539) 
Question 776275: If the length of time a train trip takes is modelled using uniform distribution. The least amount of time the trip takes is 85 minutes and the mean time is 92 minutes, what is the longest time the train trip might take?
Click here to see answer by oscargut(2071) 
Question 776277: A power station has two generators, each failing with probability of 5% in a year, independently from one year to the next. Assuming failure of a generator is independent of each other and between each year, what is the probability of both generators failing in the same year at least once in a ten year period?
Click here to see answer by stanbon(69061) 
Question 776276: A slot machine consists of five independently operating reels on which one of five different symbols can appear. The symbols are A, B, C, D and E. Each reel has one of each of the symbols. Players are paid out according to the arrangement of the 5 symbols on one horizontal line. Players win a jackpot when the arrangement has five C’s. Assuming that the player, plays 5 times, what is the probability that they’ll hit the jackpot at least once?
Click here to see answer by stanbon(69061) 
Question 776859: Hey, I need help with this problem please. I'm really stuck on this. What exactly would be considered "a fair number cube"?
A fair number cube is rolled. What is the probability that a number greater than four is rolled? Thank you very much.
Click here to see answer by FrankM(346) 
Question 776847: 1.) A card is drawn from a regular deck of cards. What is the probability that it is a heart?
2.) A coin is tossed twice. What is the probability that both tosses result in a head or heads?
3.) A coin will be tossed 100 times. About how many heads do you expect?
Click here to see answer by FrankM(346) 
Question 776889: 1. An assessment of mean, mode, median, standard deviation.
2. Any missing data and an application of a decision rule to that missing data. Discuss your decision and explain your change, if any.
3. A frequency graph (histogram or bar graph) for each variable. Is the data skewed, kurtotic, or normally distributed for each variable? Explain how each variable will contribute to the regression equation if it is heavily skewed or kurtotic
60 140 64331896 376 1282 6898 24126 1393 702
65 140 122146708 582 2277 7075 11402 251 250
43 144 46481090 303 661 2970 9753 1287 443
122 152 135096200 857 3311 21494 25580 3289 1502
79 170 233734561 1395 5756 32258 59382 3076
60 149 159399584 734 12978 35053 2621 750
78 110 1129431915 572 1468 24319 27641 2911
40 124 101344345 496 1220 6402 16856 853 416
77 135 107606586 456 1098 8566 33607 1115 462
20 136 52811772 503 1579 8582 22893 1544 714
121 71332538 476 921 8905 22497 568 129
75 149 80100410 886 1645 11186 30815 1483 238
40 136 47997004 71 231 6574 0 625 0
114 149 106953900 1050 2800 17868 31857 1861 789
29 135 66159737 181 406 7530 0 928 0
60 128 77698890 374 919 6004 0 749 0
86 149 72571020 490 2294 11024 26801 1305 702
20 33890360 318 541 435 1874 453 353
92 144 90378372 1080 2000 11954 37873 1700 1200
40 133 72571812 130 1366 5656 14841 997 449
224 198 354097261 2686 12966 71663 30207 8792 0
134 197 252896395 1302 7041 22066 35080 5400 0
150 187 99809865 1213 4814 26267 23052 3146 1067
140 189 291002040 4771 10530 66084 51377 6193 1750
210 206 2713 12000 42050 41104 5109 2682
250 195 635719011 4609 16636 76728 19670 11011 0
150 157 159291211 1418 6437 31798 34890 3908 660
155 191 240386978 1694 7856 54653 52290 4695 2956
2 83 47824729 8 122 7699 0 325 0
2 86 39505252 192 583 7427 0 363 114
131 136 168112580 1368 41119 51141 4277 1076
30 106 50374425 361 614 1775 12525 869 0
101 133 101811566 962 1739 11042 22105 1807 720
180 132674596 1374 3504 19576 38521 3165 1619
150 145 133246519 1512 3283 23641 26454 3421 1616
2 78 42533051 1 170 7602 0 0
23 147 42267738 431 643 2375 22863 307 435
131 121 110985783 934 938 15479 24475 1723 0
106 131 57585450 755 1212 8265 12114 1211 381
11 112 20608644 125 155 1230 1624 98 26
13 87 11017818 165 175 723 0 177 88
29 121 41110232 328 3568 0 1195 301
26 124 32987171 311 600 3795 5122 453 199
25 102 29925571 328 963 3518 20964 918 418
104 133 127582023 1126 2517 27604 5213 604
50 132 32715235 22 416 3487 8201 340 183
124 31993465 324 508 2954 4556 457 141
17 106 24856133 375 285 1997 6104 289 144
39 109 35320048 408 794 1306 15178 400 474
412 155 268521593 3991 10668 76140 20702 9672 2089
203 80725005 3296 13570 21178 2395 1028
477 180 449112700 4771 16467 133867 83229 6918 3669
539 184 457043818 4843 21141 119776 55583 2673
166 115 72454403 499 922 8876 18711 1423 533
15 137 87091348 195 972 15498 21008 2355 0
30 135 81495413 431 1198 6815 23313 1198 1092
6 94 21660247 222 204 2463 0 389 273
6 100 24620386 241 281 2008 0 413 222
10 107 23872832 229 491 2667 1117 455 253
7 106 28000000 330 375 1800 13370 512 270
15 120 37778177 415 455 2510 7333 536 266
15 154 96849621 190 1521 11434 10001 2092 0
2 101 15783121 90 49 792 5190 187 0
100 145 78819659 459 1803 7475 14531 1261 481
20 130 43505204 622 907 1183 15825 1257 518
3 92 18907920 157 1572 7567 420 0
15 122 29631482 321 2139 5676 500 255
20 122 70935956 725 1358 16250 15760 1387 493
15 124 58431299 158 165 2586 11762 344 420
9 123 66906100 198 500 10000 14500 1000 0
45 170 194432564 1038 3163 25517 21722 2323 432
110 186 165151572 1978 6668 26977 32893 4697 742
25 124 51467691 697 933 7918 22939 1560 273
52 155 143039315 1198 2749 26983 28938 2960 702
40 143 87885000 963 2401 18123 26512 2321 850
25 131 80641895 735 1660 12840 23097 2658 527
245 177 435805108 3888 15682 75068 52645 1801
85 183138339 1066 3768 13643 9846 1634 407
Click here to see answer by psbhowmick(868) 
Question 776861: How would I properly solve this problem?
A spinner used for a game is divided into 3 sections: yellow, brown, and orange. Janie spins the spinner 18 times. The spinner lands on yellow 8 times. What is the experimental probability that the spinner does NOT land on yellow?
Thank you!
Click here to see answer by stanbon(69061) 
Question 777024: Four friends play a game. Each person writes his or her name on a piece of paper, and the papers are randomly redistributed. Find the probability that each person gets back his or her own name. Express you answer as a simplified fraction
Click here to see answer by FrankM(346) 
Question 777043: about 13% of the population of a large country is hopelessly romantic if two people are randomly selected, what is the probability that both are hopelessly romantic? what is the probability that at least one is hopelessly romantic?
Click here to see answer by stanbon(69061) 
Question 776838: A car manufacturer gives a 2year or 100,000kilometre warranty on its new
cars. Historically, 5% of the manufacturers cars have required service under this
warranty. Find the probability that the first claim under this warranty is the
tenth car sold.
Click here to see answer by stanbon(69061) 
Question 776526: Determine the level of measurement for the variable. Identify if the variable is qualitative or quantitative. If the variable is quantitative, determine if it is discrete or continuous.
1. Time to complete the 500 meter race in skating.
2. Stock rating (strong buy, buy, hold, sell, strong sell)
Click here to see answer by stanbon(69061) 
Question 776736: A set of breakdown trucks are located on a 120 kilometre stretch of highway from city A to city B, at distances 15 kms and 105 kms from city A. A car running between the cities will breakdown at a random point along the highway.
a) What is the probability that a breakdown occurs more than 40 kms from help?
Click here to see answer by stanbon(69061) 
Question 777278: What is your conclusion based on the following data?
LOWFAT 8 sample mean 1 9.31
LOWFAT 10 sample mean 2 7.4
LOWFAT 10 t 3.095
LOWFAT 12 Pvalue 0.001279603 Fail to reject
LOWFAT 9
LOWFAT 3
LOWFAT 11 conclusion is always 2 parts reject or not reject?
LOWFAT 7 set up
LOWFAT 9 null
LOWFAT 2 alternative
LOWFAT 21
LOWFAT 8
LOWFAT 9
LOWFAT 2
LOWFAT 2
LOWFAT 20
LOWFAT 14
LOWFAT 11
LOWFAT 15
LOWFAT 6
LOWFAT 13
LOWFAT 8
LOWFAT 10
LOWFAT 12
LOWFAT 1
LOWFAT 7
LOWFAT 10
LOWFAT 13
LOWFAT 14
LOWFAT 4
LOWFAT 8
LOWFAT 12
LOWFAT 8
LOWFAT 10
LOWFAT 11
LOWFAT 19
LOWFAT 0
LOWFAT 9
LOWFAT 10
LOWFAT 4
LOWFAT 11
LOWFAT 7
LOWFAT 14
LOWFAT 12
LOWFAT 11
LOWFAT 12
LOWFAT 4
LOWFAT 12
LOWFAT 9
LOWFAT 2
LOWFAT 4
LOWFAT 3
LOWFAT 3
LOWFAT 5
LOWFAT 9
LOWFAT 9
LOWFAT 4
LOWFAT 3
LOWFAT 5
LOWFAT 12
LOWFAT 3
LOWFAT 12
LOWFAT 7
LOWFAT 13
LOWFAT 11
LOWFAT 11
LOWFAT 13
LOWFAT 12
LOWFAT 18
LOWFAT 9
LOWFAT 6
LOWFAT 14 .
LOWFAT 14
LOWFAT 18
LOWFAT 10
LOWFAT 11
LOWFAT 7
LOWFAT 9
LOWFAT 7
LOWFAT 2
LOWFAT 16
LOWFAT 16
LOWFAT 11
LOWFAT 11
LOWFAT. 3
LOWFAT 15
LOWFAT 9
LOWFAT 5
LOWFAT 2
LOWFAT 6
LOWFAT 5
LOWFAT 11
LOWFAT 14
LOWFAT 11
LOWFAT 6
LOWFAT. 9
LOWFAT 4
LOWFAT 17
LOWFAT 20
LOWFAT 10
REGULAR 6
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Click here to see answer by sofiyac(977) 
Question 777272: Set up the null and alternative hypothesis for the following problem.
A survey reported the planning habits of men and women. The question asked, "how do you primarily keep track of meetings, appointments and deadlines?" 56% of men and 46% of women answered, "in my head."
Let p1 = proportion of men who prefer keeping track of appointments in their heads and p2 = proportion of women who prefer keeping track of appointments in their heads.
Only need
null
Alternative
Click here to see answer by stanbon(69061) 
Question 777576: What is your conclusion based on the following data? Please Help!!!
LOWFAT 8 sample mean 1 9.31
LOWFAT 10 sample mean 2 7.4
LOWFAT 10 t 3.095
LOWFAT 12 Pvalue 0.001279603 Fail to reject
LOWFAT 9
LOWFAT 3
LOWFAT 11 conclusion is always 2 parts reject or not reject?
LOWFAT 7 set up
LOWFAT 9 null
LOWFAT 2 alternative
LOWFAT 21
LOWFAT 8
LOWFAT 9
LOWFAT 2
LOWFAT 2
LOWFAT 20
LOWFAT 14
LOWFAT 11
LOWFAT 15
LOWFAT 6
LOWFAT 13
LOWFAT 8
LOWFAT 10
LOWFAT 12
LOWFAT 1
LOWFAT 7
LOWFAT 10
LOWFAT 13
LOWFAT 14
LOWFAT 4
LOWFAT 8
LOWFAT 12
LOWFAT 8
LOWFAT 10
LOWFAT 11
LOWFAT 19
LOWFAT 0
LOWFAT 9
LOWFAT 10
LOWFAT 4
LOWFAT 11
LOWFAT 7
LOWFAT 14
LOWFAT 12
LOWFAT 11
LOWFAT 12
LOWFAT 4
LOWFAT 12
LOWFAT 9
LOWFAT 2
LOWFAT 4
LOWFAT 3
LOWFAT 3
LOWFAT 5
LOWFAT 9
LOWFAT 9
LOWFAT 4
LOWFAT 3
LOWFAT 5
LOWFAT 12
LOWFAT 3
LOWFAT 12
LOWFAT 7
LOWFAT 13
LOWFAT 11
LOWFAT 11
LOWFAT 13
LOWFAT 12
LOWFAT 18
LOWFAT 9
LOWFAT 6
LOWFAT 14
LOWFAT 14
LOWFAT 18
LOWFAT 10
LOWFAT 11
LOWFAT 7
LOWFAT 9
LOWFAT 7
LOWFAT 2
LOWFAT 16
LOWFAT 16
LOWFAT 11
LOWFAT 11
LOWFAT 3
LOWFAT 15
LOWFAT 9
LOWFAT 5
LOWFAT 2
LOWFAT 6
LOWFAT 5
LOWFAT 11
LOWFAT 14
LOWFAT 11
LOWFAT 6
LOWFAT 9
LOWFAT 4
LOWFAT 17
LOWFAT 20
LOWFAT 10
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Click here to see answer by oscargut(2071) 
Question 778010: Toby’s trucking company determined that on annual basis, the distance travelled per truck is normally distributed with mean of 80 470 kilometres and a standard deviation of 19 310 kilometres.
3.1 What proportion of trucks can be expected to travel between 54 720 and 80 470 kilometres?
3.2 What is the probability that selected will travel 54 720 and 61 160 kilometres?
3.3 How many of 1 000 trucks are expected to travel between 80 470 and 96 560 kilometres?
3.4 If 29.46% of the trucks travelled more than y kilometres determine y.
3.5 What is the probability that a selected truck will travel less than 54 720 kilometres?
3.6 What is the probability that a selected truck will travel more than 96 560 kilometres?
Click here to see answer by psbhowmick(868) 
Question 778265: The Melbourne Cup, held on the first Tuesday in November, has 24 horses entered in it.
a. What is the probability of winning a prize in an office sweep (where horses are randomly allocated), if prizes are given for first, second and third places?
b. In a trifecta three horses are selected to finish first, second and third in the correct order. How many possible trifectas are there in the Melbourne Cup?
c. How many combinations of the horses winning a place (first, second or third) are not trifectas? That is, the selected horses finish first, second and third but not in the correct order.
d. Suppose you have a sweep ticket (where horses are randomly allocated) for the trifecta. What is your probability of winning the major prize (the trifecta) or a consolation prize (having three winning horses but in the wrong order)?
Click here to see answer by psbhowmick(868) 
Question 778402: a box contains 6 red pens and 4 blue pens. A pen is selected at random the colour is noted and the pen is returned to the box. this procedure is performed a second and then a third time. find the probability of obtaining 3 red pens
Click here to see answer by stanbon(69061) 
Question 778401: There are 12 pens in a pack. 7 of the pens are blue and 5 of the pens are red. Three pens are picked at random from the pack without replacement. Work out the probability that exactly one of the pens is red and two are blue.
Click here to see answer by stanbon(69061) 
Question 778420: A sample of 18 young adult men (2030 years old) was sampled from a normal population. Each person was asked how many, minutes of sports they watched on television daily. The responses are listed below. It is known that the standard deviation () is 12.
55
60
65
74
66
37
45
68
64
65
58
55
52
63
59
57
74
65
Test to determine at the 5% significance level whether there is enough evidence to infer that the mean amount of television watched daily by young adult men is greater than 53 minutes.
Test to determine at 1% significance level whether there is enough evidence to infer that the mean amount of television watched daily by all young men is less than 53 minutes.
Click here to see answer by psbhowmick(868) 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925
