Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1186149: Can you help me with this question please.
Data on college graduates' employment indicate that 40% of the graduates find a part-time job within a year of their graduation, 35% of them find a full-time job and the rest of them are unemployed.
Round your final answer to 1 decimal place and express your answer in percent form (i.e. 30.0% instead of 0.3)
If we randomly select 4 graduate students within a year of their graduation, what is the probability that at least one of them has a job (full-time or part-time)?
Click here to see answer by ikleyn(52765)   |
Question 1186146: Can you help me with this question please.
The following data represents the information on the ratings of a random sample of 114 movies that were released last year and are classified by their genre.
Ratings
Genre PG PG-13 R Total
Action 2 11 15 28
Comedy 13 5 15 33
Drama 7 1 12 20
Thriller 13 12 8 33
Total 35 29 50 114
Enter your answers in fraction form; i.e. enter 1/2 instead of 0.5
(a) What is the probability that the movie is a thriller and it is rated R?
(b) What is the probability that the movies is either a comedy or it is rated PG-13?
(c) Given that the movie is an action movie, what is the probability that it is rated as PG?
Click here to see answer by ikleyn(52765) |
Question 1186145: Can you help me with this question please.
Question 3.
The following table represents the age of drivers (in years) and the major causes of 951 car accidents.
Age Speeding Careless Driving Drinking and Driving Total
Below 25 145 188 113 446
25 and above 253 146 106 505
Total 398 334 219 951
Round all final answers to 4 decimal places in the following questions.
(a) Find the probability that a randomly chosen car accident is caused by a careless driver under 25 years old.
(b) Find the probability that a randomly chosen car accident is caused by either drinking and driving or speeding.
(c) Find the probability that a randomly chosen car accident is caused by either drinking and driving or a driver under 25 years old.
(d) Given that a car accident was caused by speeding, calculate the probability that the driver was at least 25 years old.
(e) If two car accidents are randomly chosen (without replacement), calculate the probability that they are both caused by careless driving.
Click here to see answer by ikleyn(52765) |
Question 1186144: Can you please help me with this question.
Question 2.
Approximately 60% of all small businesses in Canada have a web site. 9 small businesses were randomly selected to see how many of them have a website. Assume a binomial distribution for the following questions.
Round all final answers to 3 decimal places.
(a) What is the number of independent trials?
(b) What is the probability of success during one independent trial?
(c) What is the probability that exactly 6 of the businesses will have a website?
(d) What is the probability that at least one of the businesses has a website?
Click here to see answer by ikleyn(52765) |
Question 1186154: The number of fishing rods selling each day is given below. Perform analyses of the time series to determine which model should be used for forecasting.
a. 3 day moving average analysis
b. 4 day moving average analysis
c. 3 day weighted moving average analysis with weights w1=0.2, w2=0.3 and w3=0.5 with w1 on the oldest data
d. exponential smoothing analysis with a = 0.3.
e. Which model provides a better fit of the data?
f. Forecast day 13 sales of fishing rods using the model chosen in part (e).
Day Rods sold
1 60
2 70
3 110
4 80
5 70
6 85
7 115
8 105
9 65
10 75
11 95
12 85
Click here to see answer by ikleyn(52765) |
Question 1186083: 1. The number of fishing rods selling each day is given below. Perform analyses of the time series to determine which model should be used for forecasting. (10 points)
a. 3 day moving average analysis
b. 4 day moving average analysis
c. 3 day weighted moving average analysis with weights w1=0.2, w2=0.3 and w3=0.5 with w1 on the oldest data
d. exponential smoothing analysis with a = 0.3.
e. Which model provides a better fit of the data?
f. Forecast day 13 sales of fishing rods using the model chosen in part (e).
Day
Rods sold
1
60
2
70
3
110
4
80
5
70
6
85
7
115
8
105
9
65
10
75
11
95
12
85
Click here to see answer by ikleyn(52765) |
Question 1186082: The number of fishing rods selling each day is given below. Perform analyses of the time series to determine which model should be used for forecasting. (10 points)
a. 3 day moving average analysis
b. 4 day moving average analysis
c. 3 day weighted moving average analysis with weights w1=0.2, w2=0.3 and w3=0.5 with w1 on the oldest data
d. exponential smoothing analysis with a = 0.3.
e. Which model provides a better fit of the data?
f. Forecast day 13 sales of fishing rods using the model chosen in part (e).
Day
Rods sold
1
60
2
70
3
110
4
80
5
70
6
85
7
115
8
105
9
65
10
75
11
95
12
85
2. Please read the relevant article, found in the VLE, before answering this question. Discuss the process and findings used in the study of the article. Suggest a possible
study that could be done at your current or past job that could use a similar
methodology and analysis.
Click here to see answer by ikleyn(52765) |
Question 1186105: In the description of a binomial random variable, what is the usual meaning of the symbol n ?
-the number of possible outcomes for the experiment
-the sample size
-the "not success" condition
-the number of times the experiment is repeated
Click here to see answer by robertb(5830)  |
Question 1186174: Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 55 minutes and standard deviation of 6 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of n = 40 times. The average of this sample, x-bar, is a random variable that comes from a specific probability distribution.
a) Calculate the probability that the mean time for the sample of 40 observations will be between 54 and 56 minutes.
P(54 <= x-bar <= 56)
Hint: you can use the sampling distribution parameters and the pnorm() function in R. Round your answer to 3 decimal places.
b) How likely is it that the average time will exceed 57 minutes? P(x >= 57)
Round your answer to three decimal places.
Click here to see answer by Alan3354(69443)  |
Question 1186187: When you open a bottle of Chugga-Cola, you have a 20% chance of finding a coupon (under the cap) good for a free one-ounce bag of HyperChips. What is the probability that you will find two or more of these coupons in a random sample of ten cans of Chugga-Cola?
Write your answer as a decimal, rounded to three significant figures.
Click here to see answer by ikleyn(52765) |
Question 1186185: To enter Ralph's Raffle, you buy a raffle ticket for four dollars. Ralph sells 1000 of these tickets altogether, and then randomly selectes one grand prize winner, who collects $800, and five lesser prize winners, each of whom gets $100.
Find your expected payoff if you enter Ralph's Raffle by buying a single ticket. Round your answer to the nearest cent.
Click here to see answer by Theo(13342)  |
Question 1186033: The average sentence length in 2018-2019 for all Canadian offenders admitted with a sex offence as their major admitting offence was μ=36 months. Suppose these sentence lengths are normally distributed with a population standard deviation
σ=4 months.
What is the serving time (months) of the shortest 5.59% sentence lengths?
Enter the z value for your calculation here:
Enter the serving time (months) of the shortest 5.59% sentence lengths:
Click here to see answer by Theo(13342) |
Question 1186232: The probability that a randomly selected 50-year-old male will survive the year is 0.99 according to the Social Security Administration. What is the probability that five randomly selected 50-year-old males will survive the year
Click here to see answer by ikleyn(52765) |
Question 1186238: In a lottery game, a machine has 48 balls marked with numbers from 1-48 and six of them are taken out at random. A player picks six of these numbers, trying to match the six balls that come out of the machine in any order. If exactly 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? Give answer as a fraction or decimal rounded to 4 significant digits in either standard or scientific notation. Hint: there is more than one way to win, take into consideration all the ways to pick the 4 winning numbers and the 2 losing numbers.
Is my answer below correct?
P(pick 4 of 6 numbers) =(6 choose 4)* (42 choose 2)/(48 choose 6 (all possible choices)) = 6C4*42C2/ 48C6
P =0.00105
Click here to see answer by ikleyn(52765) |
Question 1186217: A basket has 4 apples and 6 oranges. You are randomly choosing two fruit, with replacement.
Give all the answers as DECIMAL NUMBERS!
a.
What is the probability that you will choose both oranges?
b.
What is the probability that you will choose apple then orange?
c.
What is the probability that you will have two different fruits?
d.
What is the probability that you will not have orange in any of the draws?
Click here to see answer by ikleyn(52765) |
Question 1186216: A basket has 13 yellow balls and 7 red balls. You are randomly choosing two balls, with replacement.
Give all the answers as DECIMAL NUMBERS!
a.
What is the probability that you will choose both yellow balls?
b.
What is the probability that you will choose a red ball first, then a yellow ball?
c.
What is the probability that you will have balls of two different colours?
d.
What is the probability that you will not have a yellow ball in any of the draws?
Click here to see answer by ikleyn(52765) |
Question 1186215: A basket has 13 yellow balls and 7 red balls. You are randomly choosing two balls, with replacement.
Give all the answers as DECIMAL NUMBERS!
a.
What is the probability that you will choose both yellow balls?
b.
What is the probability that you will choose a red ball first, then a yellow ball?
c.
What is the probability that you will have balls of two different colours?
d.
What is the probability that you will not have a yellow ball in any of the draws?
Click here to see answer by ikleyn(52765) |
Question 1186289: The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm.
What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 98 words per minute?
The probability is.
Click here to see answer by Boreal(15235)  |
Question 1186285: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.4 years, and standard deviation of 0.6 years.
The 2% of items with the shortest lifespan will last less than how many years?
Give your answer to one decimal place.
Click here to see answer by Boreal(15235) |
Question 1186283: According to the manufacturer of Candy-Coated Sugar Blivets, twenty percent of all the Blivets they sell are pink. Assuming that a bag of Candy-Coated Sugar Blivets is a random sample containing 175 Blivets, find the smallest and the largest "usual" values for the number of pink Blivets in a bag. Remember that the number of pink Blivets in a bag has to be a whole number.
smallest usual value =
largest usual value =
Click here to see answer by ikleyn(52765) |
Question 1186282: Seven percent of the voters in Fiction County are members of the Libertarian Party. A polling organization compiles a supposedly random list of 1200 Fiction County voters. Eighty-one of the voters on the list turn out to be members of the Libertarian Party. What is the z-score for the number of Libertarians on this list?
Click here to see answer by Boreal(15235) |
Question 1186222: It has been estimated that 40% of the televisions that the manufacturer makes need repairs in the first three years of operation. A new hotel buys 90 televisions from the company. Find the probability that in the first three years operation:
a. Less than 32 of the television needs repairs
b. Between 38 and 42 of the televisions, needs repairs
Click here to see answer by Boreal(15235) |
Question 1186299: According to the manufacturer of Candy-Coated Sugar Blivets, twenty-one percent of all the Blivets they sell are pink. Assuming that a bag of Candy-Coated Sugar Blivets is a random sample containing 175 Blivets, find the smallest and the largest "usual" values for the number of pink Blivets in a bag. Remember that the number of pink Blivets in a bag has to be a whole number.
smallest usual value =
largest usual value =
Click here to see answer by ikleyn(52765) |
Question 1186310: In a test conducted it was found that of 1000 new recruits, 600 men and 400
women, 50 of the men and 4 of the women were red-green color-blind. Given that
a recruit selected at random from this group is red-green color-blind, what is the
probability that the recruit is a male?
Click here to see answer by ikleyn(52765) |
Question 1186324: Supposed the data are SAT scores and follow a normal distribution with a mean of 500 and a standard deviation 100.
a.What percent of the population obtains scores of 410 or less?
b.What is the minimum score needed to rank in the top 5% of the populations?
c.A psychologist wishes to test a new learning strategy on the bottom 15% of those who took the Math SAT. What cut-off score should she use to select participants for her study?
Click here to see answer by Theo(13342) |
Question 1186190: The amounts of electricity bills for all households in a particular city have an
approximately normal distribution with a mean of $140 and a standard deviation of
$30. Find the probability that the mean amount of electricity bills for a random sample
of 75 households selected from this city will be between $132 and $136. My email address is www.cosmashiltoon@gmail.com
Click here to see answer by Theo(13342) |
Question 1186328: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 4. Find the probability that a person will wait for between 7 and 8 minutes. Round your answer to four decimal places.
Click here to see answer by Boreal(15235) |
Question 1186319: One quarter of all residents of Centerville are under 22 years old. If a random sample of twenty Centerville residents is selected, find the probability that the sample will contain exactly five people who are under 22 years old. (The total population of Centerville is about 40,000.)
Write your answer as a decimal, rounded to three significant figures.
Click here to see answer by Boreal(15235) |
Question 1186171: Consider the following random sample observations on stabilized viscosity of asphalt specimens:
2074, 2101, 2029, 1822, 2072
Suppose that for a particular application, it is required that true average viscosity be 2000. Is there evidence this requirement is not satisfied (i.e. evidence that true average viscosity is different from 2000)? From previous findings we know that viscosity is normally distributed with a standard deviation of σ=90.
Calculate the p-value. Round your answer to three decimal places.
Click here to see answer by Boreal(15235) |
Question 1186334: The manager for a large shopping mall believes that visitors to the mall spend, on average,
85 minutes in the mall on any one occasion. To test this belief, the manager commissioned
a study which found that, from a random sample of 132 visitors to the mall, the average
visiting time to the mall was 80.5 minutes. Assume that the population standard deviation is
25 minutes and the visiting time is approximately normally distributed.
a) Formulate a suitable null and alternative hypotheses for this test situation.
c) Conduct the appropriate statistical test, at 5% level of significance, to support or
refute the manager’s belief. What management conclusion would be drawn from the
findings?
Click here to see answer by Boreal(15235) |
Question 1186323: Supposed the data are SAT scores and follow a normal distribution with a mean of 500 and a standard deviation 100.
a.What percent of the population obtains scores of 410 or less?
b.What is the minimum score needed to rank in the top 5% of the populations?
c.A psychologist wishes to test a new learning strategy on the bottom 15% of those who took the Math SAT. What cut-off score should she use to select participants for her study?
Click here to see answer by Boreal(15235) |
Question 1186352: A company which rents dvds and video games from vending machines keeps track of how many items each customer rents. For the probability distribution below, X represents the number of items rented by a randomly selected customer. P(X) represents the probability that a randomly selected customer rents that many items.
X
1
2
3
4
5
P(X)
0.2
0.3
0.3
0.1
0.1
What is the expected value for the number of items rented by a randomly selected customer?
Click here to see answer by ikleyn(52765) |
Question 1186351: 1/Assume that the readings at freezing
2/Please show your answer to 2 decimal places.
About
% of the area under the curve
3/The average American man
b. Find the probability
c. The middle 20% of American men consume
5/The amount of time
c. The park service is considering
Click here to see answer by ikleyn(52765) |
Question 1186353: /Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -0.767°C and 0.556°C.
P
(−0.767
Click here to see answer by ikleyn(52765) |
Question 1186368: A piece of equipment contains six identical items and it is known that three of them are defective.
The items are tested one after the other until the three defective items are found.
(a) What is the probability that the testing process is stopped on the (i) third test (ii) fourth test.
(b) If the process is stopped on the fourth test, what is the probability that the first item is not
defective?
Click here to see answer by ikleyn(52765) |
Question 1186374: Four branches “grow” out of each of the two main branches. These branches represent the length of service—less than 1 year, 1 - 5 years, 6 - 10 years, and more than 10 years. The conditional probabilities for the upper branch of the tree, 10/120, 30/120, 5/120, and so on are written on the appropriate branches. These are and where refers to less than 1 year of service, 1 to 5 years, 6 to 10 years, and more than 10 years. Next, write the conditional probabilities for the lower branch.
Click here to see answer by ikleyn(52765) |
Question 1186373: Explore non-linear regression. Determine a possible data set that would most likely not have a linear relationship, but would have a non-linear relationship. Discuss the type of data (find and present an actual example) and the relationship that the data would have. Also discuss why you think it would have this type of relationship.
Click here to see answer by ikleyn(52765) |
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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, 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, 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