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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 7e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 7e

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# For each random variable defined here, describe the set of ISBN: 9780321629111 32

## Solution for problem 7E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 7E

For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is discrete. , a. X = the number of unbroken eggs in a randomly chosen standard egg carton b. Y = the number of students on a class list for a particular course who are absent on the first day of classes c. U = the number of times a duffer has to swing at a golf ball before hitting it d. X = the length of a randomly selected rattlesnake e. Z = the sales tax percentage for a randomly selected amazon.com purchase f. Y = the pH of a randomly chosen soil sample g. X = the tension (psi) at which a randomly selected tennis racket has been strung h. X = the total number of times three tennis players must spin their rackets to obtain something other than UUU or DDD (to determine which two play next)

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Answer: Step1: For each random variable defined here, to describe the set of possible values for the variable, and to state whether the variable is discrete. a). Here the random variable ‘x’ be the number of unbroken eggs in a randomly chosen standard egg carton. A standard egg carton has a room for 12 eggs. So, x = { 1,2,3,4,5,6,7,8,9,10,11,12} Therefore, x takes a finite number. Then the random variable x is a discrete variable. b). Let ‘Y’ be the number of students on a class list for a particular course who are absent on the first day of classes. There are n students on the class list. Y = {1,2,3,.....,n} So, ‘y’ is a discrete random variable. c). Let ‘u’ be the number of times a duffer has to swing at a golf ball before hitting it. U = {1,2,3,4,5,6…….} So, ‘u’ is a discrete random variable. d). Let ‘x’ is the length of a randomly selected rattlesnake. X = (0,) So, ‘x’ is a continuous random variable. e). Let ‘z’ is the sales tax percentage for a randomly selected amazon.com purchase. Here ‘z’ royalties earned from the sale of the first 10000 copies of a book. Z = { 0, x, 2x, 3x,….,10000x} So z is a discrete random variable. f). Let ‘y’ be the pH of a soil sample. Y = (0,14) So, ‘y’ is a continuous random variable. g). Let ‘x’ be the tension (psi) at which a randomly selected tennis racket has been strung. X = (0,) So,‘x’ is a continuous random variable. h). Let ‘x’ be the total number of tosses of coins for three people to get the same outcome. That is HHH or TTT. X = { 3,6,9,12,15,18,....} In this case, ‘x’ is a discrete random variable.

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##### ISBN: 9780321629111

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