To qualify for the RCMP, recruits are tested for stress tolerance. The scores are normally distributed with mean µ= 64 and standard deviation = 9 a) Find the probability that a randomly chosen recruit will have a stress tolerance score between 60 and 80. b) If only the top 45% of the recruits are to be chosen to continue the RCMP training, find the minimum score a recruit would need to continue the RCMP training. c) Find the probability that the mean stress tolerance score for a random sample of 36 of these recruits is less than 59.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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To qualify for the RCMP, recruits are tested for stress tolerance. The scores are normally distributed with mean µ= 64 and standard deviation = 9 a) Find the probability that a randomly chosen recruit will have a stress tolerance score between 60 and 80. b) If only the top 45% of the recruits are to be chosen to continue the RCMP training, find the minimum score a recruit would need to continue the RCMP training. c) Find the probability that the mean stress tolerance score for a random sample of 36 of these recruits is less than 59.  

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