6. Normal Distribution and Continuous Random Variables

Sketch a graph to represent the probability, then use a calculator to find it.

$P\left(Z>1.14\right)$

Use a calculator to find the z–scores of the region shown in the standard normal distribution below.

A = 0.800

Standard Normal Distribution. In Exercises 13–16, find the indicated z score. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.

Continuous Uniform Distribution. In Exercises 5–8, refer to the continuous uniform distribution depicted in Figure 6-2 and described in Example 1. Assume that a passenger is randomly selected, and find the probability that the waiting time is within the given range.

" style="" width="225">

Greater than 3.00 minutes

Continuous Uniform Distribution. In Exercises 5–8, refer to the continuous uniform distribution depicted in Figure 6-2 and described in Example 1. Assume that a passenger is randomly selected, and find the probability that the waiting time is within the given range.

Less than 4.00 minutes

Continuous Uniform Distribution. In Exercises 5–8, refer to the continuous uniform distribution depicted in Figure 6-2 and described in Example 1. Assume that a passenger is randomly selected, and find the probability that the waiting time is within the given range.

Between 2 minutes and 3 minutes

Which of the following statements is true about a z-score?

Suppose a normal distribution is shown on a graph with the mean marked at the center. If a point is marked one standard deviation above the mean, which value best represents the $z$-score of that point?