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)

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...