SOLUTION: AAA reports that the average time it takes to respond to an emergency call is about 25 minutes with SD of 4.5 minutes. If 80 calls are randomly selected how many calls will be resp

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Question 690345: AAA reports that the average time it takes to respond to an emergency call is about 25 minutes with SD of 4.5 minutes. If 80 calls are randomly selected how many calls will be responded in less than 15 minutes?
Calcs:
SD: 4.5
Mean: 25
Z(15): 15-25/2.5= -2.2
look up in z distribution table 2.2 I get .4893 so my answer is 48.93% of call in 15 minutes
Is that correct?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
AAA reports that the average time it takes to respond to an emergency call is about 25 minutes with SD of 4.5 minutes. If 80 calls are randomly selected how many calls will be responded in less than 15 minutes?
Calcs:
SD: 4.5
Mean: 25
Z(15): (15-25)/4.5 = -2.2222
----
P(x < 15) = P(z < -2.2222) = 0.01313
--------
# of calls out of 80 will be 0.01313*80 = 1
==============
Cheers,
Stan H.


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