Question

When we compare the possible values for a discrete random variable to its expected value, the followingstatement must be true.a. The possible values and the expected value must all be whole numbers.b. The expected value must be one of the possible values.C. The possible values must all be whole numbers but the expected value may be a rationalnumber.d. The expected value will not be a whole number.

Answer 1

Explanation:

The statement that we have is:

Let's start by remembering what a discrete random variable is.

A random variable is the outcome of an experiment and its value is unknown, and for a discrete random variable, the values that it can take can only be integers or whole numbers.

Therefore, the possible values must be all whole numbers.

Now, the expected value is related to the probability that a certain number results to be the outcome, and this is not necessarily a whole number, it could be a rational number (decimal number or fraction).

This is all represented in option C:

The possible values must all be whole numbers but the expected value may be a rational number.

Answer:

option C. The possible values must all be whole numbers but the expected value may be a rational number.