# The basketball player from Example 2 is asked to shoot three free throws 100 times. Compute the

## Question:

The basketball player from Example 2 is asked to shoot three free throws 100 times. Compute the mean number of free throws made.

**Approach** The player shoots three free throws and the number made is recorded. We repeat this experiment 99 more times and then compute the mean number of free throws made.

**Data from Example 2**

Suppose we ask a basketball player to shoot three free throws. Let the random variable X represent the number of shots made, so x = 0, 1, 2, or 3. Table 1 shows a probability distribution for the random variable X.

We denote probabilities using the notation P(x), where x is a specific value of the random variable. We read P(x) as “the probability that the random variable X equals x.” For example, P(3) = 0.51 is read “the probability that the random variable X equals 3 is 0.51.”

## Step by Step Answer:

**Related Book For**

## Statistics Informed Decisions Using Data

**ISBN:** 9781292157115

5th Global Edition

**Authors:** Michael Sullivan