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 of10.0minutesand a standard deviation of1.5minutes.For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.)

(a)the response time is between7and11minutes

__________

(b)the response time is less than7minutes

__________

(c)the response time is more than11minutes

__________

Consider anxdistributionwith standard deviation=15. (For each answer, enter an exact number.)

(a)If specifications for a research project require the standard error of the correspondingdistributionto be5, how large does the sample size need to be?

n=__________

(b)If specifications for a research project require the standard error of the correspondingdistributionto be 1, how large does the sample size need to be?

n=__________