Police response time to an emergency call is the difference between the time the
ID: 2957343 • Letter: P
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 8.1 minutes and a standard deviation of 1.9 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 10 minutes
(b) the response time is less than 5 minutes
(c) the response time is more than 10 minutes
Explanation / Answer
(a) normalcdf(5,10,8.1,1.9) = 0.79 (b) normalcdf(0,5,8.1,1.9) = 0.05 (c) normalcdf(10,99999,8.1,1.9) = 0.16