Question

A random variable is used to find the number of items in a scavenger hunt being held by a local youth group. Identify the variable as discrete or continuous and explain.(1 point)ResponsesIt is continuous because the number of items can be measured by any positive rational number.It is continuous because the number of items can be measured by any positive rational number.It is discrete because the number of items in the scavenger hunt is identified using whole numbers.It is discrete because the number of items in the scavenger hunt is identified using whole numbers.It is discrete because the number of items in the scavenger hunt is limited to specific amount.It is discrete because the number of items in the scavenger hunt is limited to specific amount.It is continuous because there is no set limit on how many items are in the scavenger hunt.

Answer 1

The correct response is: It is discrete because the number of items in the scavenger hunt is identified using whole numbers.

Explanation:

In this case, the variable represents the number of items, which can only take on whole number values (0, 1, 2, 3, etc.). You cannot have a fraction of an item in a scavenger hunt, which means that the values are countable and distinct, confirming that the variable is discrete rather than continuous. Continuous variables can take any value within a certain range, including fractions or decimals, which does not apply to counting items in a scavenger hunt.