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] 0, 1, 2, 3, ..., 12 (0, 12] 1, 2, 3, ..., 12 State whether the variable is discrete. discrete not discrete

Answer 1

The possible values for X is:
`{0,1,2,3,....,12}`

Yes, it is a discrete random variable.

Explanation:

Consider the provided information.

We need to determine whether the variable is discrete or not.

Discrete variables are which can only take on a finite number of values.

Let the variable X be the number of unbroken eggs in a randomly chosen standard egg carton.

In a standard egg carton we can put 12 eggs.

Therefore, the possible values for X is:
`{0,1,2,3,....,12}`

The number of unbroken eggs (X) can take infinite values, thus by the above definition it is a discrete random variable.