Question

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 Describe the set of possible values for the variable. (0, 12] 1, 2, 3, ..., 12 0, 1, 2, 3, ..., 12 [0, 12] State whether the variable is discrete. discrete not discrete.

Answer 1

Answer:

X is a discrete random variable.

X can take values from 0 to 12:

$X\in[0,1,2,3,4,5,6,7,8,9,10,11,12]$

Step-by-step explanation:

(a) X = the number of unbroken eggs in a randomly chosen standard egg carton

X is a discrete random variable.

The minimum amount of eggs broken is 0 and the maximum amount of eggs broken is 12 (assuming a dozen egg carton).

Then, X can take values from 0 to 12:

$X\in[0,1,2,3,4,5,6,7,8,9,10,11,12]$

About the probability ditribution nothing can be said, because there is no information about it (it can be a binomial, uniform or non-standard distribution).