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Question 5 People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs. a) Complete the Table b) Determine the Expected value of rentals per customer and its standard Deviation. x P(x) 0 0.03 1 0.50 2 0.24 3 4 5 0.07 0.04

Question 5 People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs. a) Complete the Table b) Determine the Expected value of rentals per customer and its standard Deviation. x P(x) 0 0.03 1 0.50 2 0.24 3 4 5 0.07 0.04

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 5 People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs. a) Complete the Table b) Determine the Expected value of rentals per customer and its standard Deviation. Shirt# ≤ 210 1-33 21 34-66 6 66-99 6 Question 6. In a previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were published in the San Jose Mercury News. The factual data were compiled into the following table. 211-250 5 18 12 Height (cm) 10-11 Frequency 4 251-290 0 7 22 12-13 12 > 290 0 4 5 For the following, suppose that you randomly select one player from the 49ers or Cowboys. a. Find the probability that his shirt number is from 1 to 33. b. Find the probability that he weighs at most 210 pounds. c. Find the probability that his shirt number is from 1 to 33 AND he weighs at most 210 pounds. d. Find the probability that his shirt number is from 1 to 33 OR he weighs at most 210 pounds. e. Find the probability that his shirt number is from 1 to 33 GIVEN that he weighs at most 210 pounds. Question 7. The table shown below is the height of plants observed in an experiment done by the epidemiologist 14-15 42 X 0 1 2 3 4 16-17 34 18-19 23 P(x) 0.03 0.50 0.24 0.07 5 0.04 1. Calculate the mean and standard deviation of the height. 2. Given Skewness= -0.6 and Kurtosis = 1.2. Interpret these two values.
Transcribed Image Text:Question 5 People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs. a) Complete the Table b) Determine the Expected value of rentals per customer and its standard Deviation. Shirt# ≤ 210 1-33 21 34-66 6 66-99 6 Question 6. In a previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were published in the San Jose Mercury News. The factual data were compiled into the following table. 211-250 5 18 12 Height (cm) 10-11 Frequency 4 251-290 0 7 22 12-13 12 > 290 0 4 5 For the following, suppose that you randomly select one player from the 49ers or Cowboys. a. Find the probability that his shirt number is from 1 to 33. b. Find the probability that he weighs at most 210 pounds. c. Find the probability that his shirt number is from 1 to 33 AND he weighs at most 210 pounds. d. Find the probability that his shirt number is from 1 to 33 OR he weighs at most 210 pounds. e. Find the probability that his shirt number is from 1 to 33 GIVEN that he weighs at most 210 pounds. Question 7. The table shown below is the height of plants observed in an experiment done by the epidemiologist 14-15 42 X 0 1 2 3 4 16-17 34 18-19 23 P(x) 0.03 0.50 0.24 0.07 5 0.04 1. Calculate the mean and standard deviation of the height. 2. Given Skewness= -0.6 and Kurtosis = 1.2. Interpret these two values.
Practice Questions. Question 1 Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days. a. Fill in the blanks. X~ b. If one of the trials is randomly chosen, i) Find the probability that it lasted at least 24 days. ii) Find the probability that it lasted between 20 and 26 days. iii) Find the probability that lasted 27 days. Question 2 The average number of times per week that Mrs. Plum's cats wake her up at night because they want to play is ten. We are interested in the number of times her cats wake her up each week. a) What distribution does X=the number of times her cats wake her up each week represent? b) Find the probability that her cats will wake her up no more than five times next week. c) Find the probability that her cats will wake up four times next week. d) Find the mean and deviation of the given distribution Question 3 It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a) What distribution does the random variable in the problem follow? b) What is the probability that we must survey just one or two residents until we find a California resident who does not have adequate earthquake supplies? c) What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? Question 4 More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 13 such institutions. We are interested in the number that offer distance learning courses. a) Define the random variable X b) Find the probability that at most ten offer such courses. c) Find the probability that 8 offer such courses. d) Find the mean and deviation of the given distribution
Transcribed Image Text:Practice Questions. Question 1 Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days. a. Fill in the blanks. X~ b. If one of the trials is randomly chosen, i) Find the probability that it lasted at least 24 days. ii) Find the probability that it lasted between 20 and 26 days. iii) Find the probability that lasted 27 days. Question 2 The average number of times per week that Mrs. Plum's cats wake her up at night because they want to play is ten. We are interested in the number of times her cats wake her up each week. a) What distribution does X=the number of times her cats wake her up each week represent? b) Find the probability that her cats will wake her up no more than five times next week. c) Find the probability that her cats will wake up four times next week. d) Find the mean and deviation of the given distribution Question 3 It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a) What distribution does the random variable in the problem follow? b) What is the probability that we must survey just one or two residents until we find a California resident who does not have adequate earthquake supplies? c) What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? Question 4 More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 13 such institutions. We are interested in the number that offer distance learning courses. a) Define the random variable X b) Find the probability that at most ten offer such courses. c) Find the probability that 8 offer such courses. d) Find the mean and deviation of the given distribution
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