# Find the standard deviation of the discrete random variable given in Table 1 from Example 2. Approach

## Question:

Find the standard deviation of the discrete random variable given in Table 1 from Example 2.

**Approach **We will use Formula (2a) with the unrounded mean μ_{X} = 2.39.

**Approach** We will use Formula (2b) with the unrounded mean μ_{X} = 2.39.

**Formula 2**

**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