Questions on Algebra: Probability and statistics answered by real tutors!

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 324759: 12.52 Below are average gestation days and longevity data for 22 animals.
(a) Make a scatter plot. (b) Find the correlation coefficient and interpret it.
(c) Test the correlation coefficient for significance, clearly stating the
degrees of freedom. (Data are from The World Almanac and Book of Facts,
2005, p. 180. Used with permission.)
Gestation
Gestation (days) and Longevity (Years) for Selected Animals (n = 22)

Animal Gestation Longevity

Ass 365 12
Baboon 187 20
Beaver 122 5
Buffalo 278 15
Camel 406 12
Cat 63 12
Dog 61 12
Deer 201 8
Elephant 645 40
Fox 52 7
Guinea Pi 68 4
Horse 330 20
Kangaroo 42 7
Lion 100 15
Moose 240 12
Mouse 21 3
Possum 15 1
Rabbit 31 5
Rhino 450 15
Sheep 154 12
Wolf 63 5
Zebra 365 15
Click here to see answer by Fombitz(32388)

Question 324784: The lifetime of a certain brand of battery is known to have a standard deviation 16 of hours. Suppose that a random sample of 80 such batteries has a mean lifetime of 43.5 hours. Based on this sample, find a 90% confidence interval for the true mean lifetime of all batteries of this brand. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.

Click here to see answer by 1satanist(2)

Question 324618: A monk crosbred plants, which can have purple or white flowers, and obtained 631 plants with white flowers, and 264 plants with purple flowers. Find the emperical probability that a plant had each type of flower.
The probability that a plant had white flowers is []?
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Question 324796: HI, Can you please help me solve this question: What is the probability that an observation is at least one standard deviation above and below the mean?
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Question 324820: Please help me understand this question for my exam tomorrow. Find the z-score such that the interval within z standrard deviations of the mean for a normal distribution contains (A)50% of the probability and (B)90% of the probability.
Click here to see answer by scott8148(6628)

Question 324841: For a simple random sample of 100 cars of a certain popular model in 2003, it was found that 20 had a certain minor defect in the brakes. For an independent SRS of 400 cars of the same model in 2004, it was found that 50 had the same defect. Let p1 and p2 be the proportions of all cars of this model in 2003 and 2004, respectively, that have the defect. We wish to test H0: p1 = p2 against Ha: p1 > p2. For this test, the (approximate) P-value is

Click here to see answer by stanbon(75887)

Question 324874: Find the P-value for a right-tailed hypothesis test with a test statistic of z = 1.58. Decide whether to reject the null hypothesis H0 if the level of significance is 0.05. Choose two answers below.
Answers
A. Fail to reject H0
B. 0.943
C. Reject H0
D. 0.114
E. 0.057
Click here to see answer by stanbon(75887)

Question 324839: You are taking a quiz with 10 multiple choice questions and each questions has 4 possible answers. If you assume that the questions are independent, what is the standard deviation for quiz scores?
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Question 324897: The time to repair an electronic device is a normally distributed random variable measured in hours. It is believed that the true average time to repair such a device is 225 hours. Which of the following 95% confidence intervals would lead to rejecting the claim that the average time to repair the devices is 225 hours?
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Question 324945: If 0-9 digits were placed in a hat, what is the probability of randomly picking an odd number if a selection is made?
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Question 324990: I'm hoping I can get a confirmation on this problem:
A study done by the Center for Academic Integrity at Rutgers University surveyed 2116 students at 21 colleges and universities. Some of the schools had an "honor code" and others did not. Of the students at schools with an honor code, 7% reported having plagiarized a paper via the Internet, while at schools with no honor code, 13% did so. (Sacramento Bee, Feb 29, 2000, D1.) For this study, the relative risk of a student having plagiarized a paper via the Internet at a school with no honor code, compared to a school with an honor code is:
A) 7/13 = 0.538
B) 87/13 = 6.692
C) 13/7 = 1.857
D) 13/87 = 0.149
I am figuring since the explanatory variable is whether there is an honor code and whether there is plagiarism is the response variable then 7/13=0.538. Fingers crossed...
Thanks,
Kim
Click here to see answer by stanbon(75887)

Question 324996: The table below shows the prizes and probabilities of winning(on a single $1 ticket) for a particular state lottery.
Prize (dollars)-------- Probability
_____________________________________
19 millon(jackpot)----- 1 in $76,275,360
150,000 ------- 1 in 2,179,296
5000 --------- 1 in 339,002
150 ------------ 1 in 9686
100 ------------ 1 in 7705
5 ------------- 1 in 220
2 ------------- 1 in 102
1 -------------- 1 in 62
How would you expect to win or lose if you bought one $1 ticket every day for a year? Round to the nearest dollar.
Thank you
Click here to see answer by stanbon(75887)

Question 324889: In one town, 39% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.
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Question 325006: Can I get help with this question?
Which of the following is the BEST statement of the null hypothesis for conducting a Chi-Square analysis?
A) The variables are NOT statistically related in the sample
B) The variables ARE statistically related in the population
C) The variables are NOT statistically related in the population
D) The variables ARE statistically related in the sample
I understand that a statistically significant relationship is a relationship observed in a sample that would have been unlikely to occur if really there is no relationship in the larger population. So I think A would be the answer.
Thanks,
Donnie
Click here to see answer by stanbon(75887)

Question 325019: In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%. Let level of significance = 0.01. (Round phat to 2 decimal places.)

1. H0 :
Ha :
2. Level of significance =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:

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Question 324963:
In a poll, respondents were asked whether they were planning to vote in the local election. 475 respondents indicated that they were planning to vote and 496 said that they were not. What is the probability that the next respondent questioned will indicate that they are planning to vote?
Thank you
Click here to see answer by Fombitz(32388)

Question 325063: I cannot seem to figure out how this problem is worked. Any help is appreciated. I Know the answer is 1/56 but I don't have a clue at the moment how that can be.
Here is the problem:
In a certain lottery, 3 different numbers between 1 and 8 inclusive are drawn at random. These are the winning number. If you choose 3 different numbers at random between 1 and 8, what is the probability you will match the winning numbers? Assume that the order of the numbers is unimportant.
Answer: 1/56 ---- I need help getting this answer. I have tried evrything I can think of. Thank you
Click here to see answer by Alan3354(69443)

Question 325177: A vendor has 14 helium balloons for sale: 9 are yellow, 3 are red, and 2 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon, selected at random, is also yellow?

A 8/13 B 9/13 C 5/14 D 8/14 E 9/14
Click here to see answer by stanbon(75887)

Question 325234: I would like to see if I could get assistance to show me how to work this problem.
The probability of winning $20 in a particular lottery is 0.01. What is the probablity that you will get at least one $20 winner if you buy 90 tickets.
Thanks in advance!
Jennifer
Click here to see answer by stanbon(75887)

Question 325261: There are four green blocks and four red blocks in a bag.
a What is the probability of selecting a red block, keeping it, then selecting
another red block?
b What is the probability of selecting a green block, replacing it, then selecting a red block?
Click here to see answer by stanbon(75887)

Question 325263: Find the probability of obtaining each of the following poker hands.
A. Royal Flush (10, J, Q, K, A all of the same suit)
B. Straight FLUSH (5 cards in sequence in a single suit, but not a royal flush)
C.FULL HOUSE (one pair and one triple of the same face values)
D. STRAIGHT ( 5 consecutive cards, not all of the same suit)
Thank you.

Click here to see answer by stanbon(75887)

Question 325275: When two balanced dice are rolled,there are 36 possible outcomes. Find the probability that the sum is a multiple of 3 or greater than 8.
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Question 325274: You are given 12 to 1 odds against tossing 3 tails in 3 tosses of a fair coin. This means that you win $12 if you succeed and you lose $1 if you fail. Find the expected value(to you) of the game. Round to the nearest cent.
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Question 325308: The odds in favor of Sprinting Sarah winning the horse race are 19:3. Determine the probability that Sprinting Sarah wins the horse race. (Choose from below)
1. 3/19
2. 22/3
3. 3/22
4. 19/22
5. 19/3
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Question 325307: A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3, 6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B or C.
1. Use the counting principle to determine the number of points in the sample space.
2. Construct a tree diagram to represent this situation
3. List the sample space.
4. Determine the exact probability of creating a mini license plate with a B. Give solution exactly in reduced fraction form.
Click here to see answer by stanbon(75887)

Question 325314: Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma.

1. drawing a black seven out of a standard 52 card deck given it�s not a face card or an ace.
2. rolling a total of 4 on two fair six sided dice
3. drawing a three out of a standard 52 card deck given it�s not a face card or an ace.
4. rolling a total of 9 on two fair six sided dice
5. rolling a total of 7 on two fair six sided dice

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Question 325313: How many different ways are there for a business to select a group of 6 employees for a committee to plan a party from a group of 16 staffers?
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Question 325305: . From a random sample of households, the number of television sets are listed. Find the sample mean and standard deviation of the data.
Number of televisions 0 1 2 3 4 5
Number of households 1 8 13 10 5 3

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Question 325397: Please help
How many 5 letter passwords can be formed from the letters PAYMENT if no repetition of letters is allowed?
Thanks in advance.
Click here to see answer by stanbon(75887)

Question 325396: I am looking for assistance solving this problem:
In a certain lottery, 4 different numbers between 1 and 9 inclusive are drawn at random. These are the winning numbers. If you choose 4 different numbers at random between 1 and 9, what is the probability you will match the winning numbers? Assume that the order of the numbers is unimportant.
Thanks!!
Click here to see answer by stanbon(75887)

Question 325433: is -7.64 greater than or less than 4.63
Click here to see answer by Edwin McCravy(20054)

Question 325498: If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.
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Question 325455: A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with any one of 5 calling plans. How many combinations are possible?
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Question 325535: 1) If the probability that it will snow today is 3/5, the probability that it will snow today is 2/5. True or False?

2) If a menu has a choice of 5 appetizers, 5 main courses, and 5 dessers, how many dinners are possible if each includes one appetizer, one main course, and one desser?
3) True or false? In a physics class there are 13 juniors and 20 males; so there must be 33 makes juniors in this class?
4) How many possible outcomes would there be if three coins were tossed once?
5) Which of the following cannot be considered a probability of an outcome? 23%, 115%, or 1?
Click here to see answer by stanbon(75887)

Question 325622: A bag contains 4 white and 6 black balls. Two (2) balls are drawn at random. One at a time, unseen, without replacement. What is the probability that:
a. The 1st ball is white and the 2nd is black?
b. The 1st ball is black?
c. Both balls are white?
d. Both balls are black?
e. If a 3rd ball is selected or drawn, then set the probability that it is black if the first were white.

Click here to see answer by stanbon(75887)

Question 325673: What is the probability of drawing four cards that are not red from a 52 deck of cards without replacement?
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Question 325597: Assume that the average annual salary for a worker in the United States is $36,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Find the following:

(A) What percentage of Americans earn below $26,000?
(B) What percentage of Americans earn above $39,000?
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Question 325592: A can solve 90% of the problems while B can solve 80% of problems in statistics. A problem is selected at random and what is the probability that atleast one of them will solve it?
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Question 325563: how many ways can 5 students be seated on a bench for pictures?
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Question 325532: 5) A box contains 9 red marbles, 8 green marbles, and 4 white marbles. If a marble is seleted at random, what is the probability that it is not green?
6) If a die is rolled one time, what is the probability of getting a number smaller than 5?
7) True or false? If a number of different arrangements of four pictures from a selection of ten pitcures is 5,040.
8) How many different ways can 3 brands of soda
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Question 325462: grades on midterm exam given with mean 75 and std dev 9.F grade is all scores below 60th percentile of distribution.find the lowest acceptable score.
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Question 325448: suppose the probability that a construction company will be awarded a certain contract is .25, the probability that it will be awarded a second contract is .21, and the probability that it will get both contracts is .13. What is the probability that the company will win at least one of the two contracts.
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Question 325735: In a two-sample test of means for independent samples, the equal sign always appears where
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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, 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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, 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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, 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