-3 points BBUnderStat11 6.3.02B My Notes Ask Your Teache Police response time to

Question

-3 points BBUnderStat11 6.3.02B My Notes Ask Your Teache 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 polic? esponse time has a no nal distribution with a mean of 8.8 minutes and standar e a o r-6 minutes. For a randomly received emergency call, find the following (Round your answers to four decimal places.) (a) the response time is between S and 10 minutes (b) the response time is less than 5 minutes (c) the response time is more than 10 minutes Subomit Anewer Save Progress

Explanation / Answer

Solution :

Given that mean ? = 8.8 , standard deviation ? = 1.6

(a) P(5 < x < 10) = P((x - ?)/? < Z < (x - ?)/?)

= P((5 - 8.8)/1.6 < Z < (10 - 8.8)/1.6)

= P(-2.375 < Z < 0.75)

= 0.7647

(b) P(x < 5) = P((x - ?)/? < (5 - 8.8)/1.6)

= P(Z < -2.375)

= 0.0087

(c) P(x > 10) = P((x - ?)/? > (10 - 8.8)/1.6)

= P(Z > 0.75)

= 0.2266

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