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Question 194374: the american automobile association reports that the average time it takes to respond to an emergency call is 25 minutes. assume the variable is approximately normally distributed and the standard deviation is 4.5 minutes. If 80 calls are randomly selected, approximately how many will be responded to in less than 15 minutes?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! the american automobile association reports that the average time it takes to respond to an emergency call is 25 minutes. assume the variable is approximately normally distributed and the standard deviation is 4.5 minutes. If 80 calls are randomly selected, approximately how many will be responded to in less than 15 minutes?
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Find the z-value of 15
z(15) = (15-25)/4.5 = -2.22222
P(x<15) = P(z<-2.222) = 0.013
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Then 0.013*80 = 1.04
Approximately one call of the 80 will be responded to
in less than 15 minutes.
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Cheers,
Stan H.
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