2. For cach random variable defined here, describe the set of possible values fo

Question

2. For cach 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 cgg carton (b) Y = the number of students in 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 amount of royalties earned from a sale of a first edition of 10,000 books (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 coin tosses required for three individuals to obtain a match (HHH or TTT)

Explanation / Answer

(a) A standard egg carton has 12 eggs

So possible value of X = {0,1,2,3,4,5,6,7,8,9,10,11,12}

Yes, X is discrete

(b) Y can be 1,2,....,n

wheren is the number of students in a class

Yes Y is discrete

(c) U can be 1,2,.....,n

where n is the number of swings

Yes U is discrete

(d) X can be a<X<b

where a and b are the minimum and maximum length of a rattlesnake

No, X is not discrete

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