Police response time to an emergency call is the difference between the times the call is first received by the dispatcher and the time a patrol car

Lennie Carroll

Lennie Carroll

Answered question

2021-09-01

Police response time to an emergency call is the difference between the times 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 responce time has a normal distribution with a mean of 8.4 minutes and a standard deviation of 1.7 minutes. for a randomly recieved emegency call, what is the probability that the response time will be:

a) between 5 and 10 min 

b) less than 5 min 

c) more than 10 min

Answer & Explanation

au4gsf

au4gsf

Skilled2021-09-02Added 95 answers

a) P(5<X<10)
=P(X<10)P(X<5)
=P(Z<108.41.7)P(Z<58.41.7)
=P(Z<0.94)P(Z<2)
=P(Z<0.94)[1P(Z<2)] From standard normal distribution table, (attached below) =0.82639[10.97725]
=0.80364 b) P(X<5)
=P(Z<58.41.7)
=P(Z<2)
=1P(Z<2) From standard normal distribution table, (attached below) =10.97725
=0.02275
c)P(X>10)
=P(Z>108.41.7)
=1P(Z<0.94) From standard normal distribution table, (attached below)
=10.82639
=0.17361

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?