Hi all I am having a problem withthis: Assume that the finishing times in a New

Question

Hi all I am having a problem withthis:

Assume that the finishing times in a New YorkCity 10-Kilometer road race are normally distributed with a mean of61 minutes and a standard deviation of 9 minutes. Let X be arandomly selected finishing time, Find

a)    P ( X > 72 )     b) P ( 52 < X < 70 )    c) FindP95 (the 95 percentile point)

Please Show All Work, Thank You, Will Give ALIFESAVER!!!

Explanation / Answer

a) P(x> 72) z = (x-u)/o = (72-61)/9 = 1.222 P(x>72) = P(z>1.222) = normalcdf (1.222, 100) = 0.1108 probability that finishing time is greater than 72 minutes is11.08% b) P(52

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