Question

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. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes. For a randomly received emergency call, find the following probabilities. (Round your answers to four decimal places.)

(a) the response time is between 5 and 11 minutes


(b) the response time is less than 5 minutes


(c) the response time is more than 11 minutes

Answer 1

This is a normal distribution question with


a) x1 = 5
x2 = 11
P(5.0 < x < 11.0)=?

This implies that

b) x = 5
P(x < 5.0)=?
The z-score at x = 5.0 is,

This implies that


c) x = 11
P(x > 11.0)=?
The z-score at x = 11.0 is,

This implies that

PS: you have to refer z score table to find the final probabilities.
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