Police Academy Acceptance ExamsTo qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of63

and a standard deviation of8.If only the top21% of the applicants are selected, find the cutoff score. Roundz-value calculations to2decimal places and the final answerupto the nearest whole number.

Cutoff score=

Life of Smoke DetectorsThe average lifetime of smoke detectors that a company manufactures is5years, or60months,and the standard deviation is6 months.Find the probability that a random sample of28smoke detectors will have a mean lifetime between58

and63months.Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answer to at least four decimal places and intermediatez-value calculations to two decimal places.

P(58