Question

Question:

(a) What is a random variable?

(b) What are the possible values assigned by the random variablethat assigns to a roll of two dice the larger number that appears on the two dice?

Short answer

Answer

(a) A random variable is defined as a function that maps outcomes to mathematically convenient outcomes, such as real numbers.

(b) The resultant answer is that\(X\)can assign values to 1,2,3,4,5,6 only.

Step-by-step solution

Given data

The given datais two dice.

Simplify by using the concept of random variable

(a)

A random variable is defined as a function that maps outcomes to mathematically convenient outcomes, such as real numbers.

Find the possible values of the dice

(b)

Since the bigger number on the two dice could be any of the numbers, then it follows that the random variable \(X\) can assign values to 1,2,3,4,5,6 only.