Question

Identify the given item as probability distribution, continuous random variable, or discrete random variable.

The chance that 5 or 6 field goals will be attempted in a football game.

Answer 1

Answer: It is a discrete random variable .

Explanation:

Since we have given that

The chance that 5 or 6 field goals will be attempted in a football game is a discrete random variable.

As discrete random variable take only integer value whereas continuous random variable take on any value.

But the chance that 5 or 6 field goals will be attempted in a football game will only an integer value.

Hence, it is a discrete random variable .

Answer 2

The amount of field goals that can be achieved in a football game can only be whole number values. For example, a field goal can only be 5 or 6 but not 5.5, 5.6 or 5.7 and etc. Therefore this is a discrete random variable.