Chapter 11, Problem 12SGR

To determine

To identify: The random variable in each distribution and classify it as discrete or continuous.

Answer to Problem 12SGR

The number of ice cream sandwiches sold is the random variable and the relationship is discrete.

Explanation of Solution

Given:

The number of ice cream sandwiches sold at an ice cream shop.

Calculation:

There is only one ice cream shop therefore it is not varying, but the number of ice cream sandwiches sold can change and therefore it is the random variable.

So, the random variable is the number of ice cream sandwiches sold.

The number of ice cream sandwiches sold is singular and countable values so therefore discrete. For example, the number of ice cream sandwiches would be $1,2,3,4,\mathrm{....}$ and not values in between such as $1.27,3.83$ , etc.

Therefore, the relationship is discrete.

Therefore, the number of ice cream sandwiches sold is the random variable and the relationship is discrete.