Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene (based on information fromThe Denver Post). Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.4 minutes and a standard deviation of 1.7minutes.

1. Using the Empirical Rule, calculate the interval for:

a. 68% of the data

b. 95% of the data

c. 99.7% of the data

2. What is the area under the curve between 6.7 and 11.8?

3. For a randomly received emergency call, what is the probability that the response time will be: (Show your work, include the z-scores)

(a) between 5 and 10minutes?

(b) less than 5minutes?

(c) more than 10minutes?