9. The number of gallons of Gatorade consumed by a football team during a game follows a normal distribution with mean 20. The standard deviation is 3. a) If a game is selected at random, find the probability that the number of gallons consumed will be greater than 23 gallons. b) If a game is selected at random, find the probability that the number of gallons consumed will be between 22 and 25 gallons. c) Find the 90th

9. The number of gallons of Gatorade consumed by a football team during a game follows a normal distribution with mean 20. The standard deviation is 3. a) If a game is selected at random, find the probability that the number of gallons consumed will be greater than 23 gallons. b) If a game is selected at random, find the probability that the number of gallons consumed will be between 22 and 25 gallons. c) Find the 90th

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.90 years and a standard deviation of 1.80 years. Random samples of size 20 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. Answer choices: A.) 5.90 years , 0.40 years b) 5.90 years , 0.09 years c.) 1.32 years , 1.80 years d) 1.32 years , 0.40 years
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Please choose the correct answer. A box has red marbles, 3 black marbles and 5 blue marbles. A marble is picked at random. what is the total number of possible outcomes? A. 2 B. 3 C. 5 D. 10 8. How would you interpret a very small variance or standard deviation? A. The values of the random variables are equal to the mean. B. The values of the random variable are farther from the mean. C. The values of the random variable are closer to the mean. D. The values of the random variables have no relationship with the mean.
222. A random sample of 6 vehicles on the highway had their speed checked. The speeds, in miles per hour, are listed below. 62 75 81 68 72 74 For the given data, find the standard deviation.
Dut Trenta and his friends play a game where they will win the amount indicated in the boxes they will pick. In Box 1, 2, 3, 4, 5, and 6, the prizes are 500, 1000, 500, 800, 1500, and 2000 respectively. A random sample of 3 boxes were selected without replacement. Let X be the amount indicated inside a box. a. Find the sampling distribution of ?. b. Find the mean and standard deviation of ?.
PLS. Solve Quickly Applications Problems According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an average of $3173 debt on their credit cards (USA TODAY, April 13, 2009). Suppose that cur- rent credit card debts for all college students have a normal distribution with a mean of $3173 and a standard deviation of $800. Find the probability that credit card debt for a randomly se- lected college student is between $2109 and $3605.
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81. According to a recent Pew Research poll, 75% of millennials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millennials you ask until you find a person without a profile on a social networking site. a. Describe the distribution of X. b. Find the (i) mean and (ii) standard deviation of X. c. What is the probability that you must ask ten people to find one person without a social networking site? d. What is the probability that you must ask 20 people to find one person without a social networking site? e. What is the probability that you must ask at most five people?
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3.4.5 5. Suppose the length of time of a whale's song is normally distributed with mean 12.5 minutes and standard deviation 2.6 minutes. a. Find the probability that a whale's song will last more than ten minutes. b. Find the probability that a whale's song will last between eight and sixteen minutes. c. Find the probability that a whale's song lasts less than five minutes or longer than twenty minutes. d. Find the length of time such that only 5% of whale's songs last longer than that length of time. e. Find the length of time such that only 10% of whale's songs are shorter than that length of time.
K A survey found that women's heights are normally distributed with mean 63.4 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table. Click to view page 2 of the table. correct: 1 C... a. The percentage of women who meet the height requirement is (Round to two decimal places as needed.)