1. Assume that the length of time (in minutes) that you wait in line for a roller coaster ride is based on the Normal

Distribution with a = 45 minutes and

3 minutes.

a. Using the image below, label the standard deviations using the Empirical Rule (68-95-99.7). Label the x-

axis with the data values for each standard deviation away from the mean and label the mean.

Using the information from the graph, answer the following questions.

b. 68% of the time, the wait time is between

c. 99.7% of the time, the wait time is between

minutes and

minutes and

d. What percentage of the time is the wait in line for roller coaster less than 42 minutes?

e. What percentage of the time is the wait in line between 39 and 48 minutes?,

minutes

minutes

f. Sarah waited 47 minutes in line to ride the roller coaster. Compute the z-score for this wait time. Round

to two decimal places and show work.