SOLUTION: 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 th

Question 1169257: 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 10.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities.
(a) the response time is between 7 and 12 minutes
(b) the response time is less than 7 minutes
(c) the response time is more than 12 minutes

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
this is z between (7-10.4)/1.7 or -2 and z of 1.6/1.7 or 0.94
probability is 0.8039
fewer than 7 minutes z will be < -2 and the probability is 0.0228
more than 12 minutes z will be there remaining probability from 1-0.8039-0.0228 or 0.1733
can do this by 2nd VARS ENTER (7,12,10,4,1.7)ENTER for the first one and analogously for the others.
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