Every Mardi Gras, the NOPD sets up a checkpoint where they pull over random drivers for a Blood Alcohol Content (BAC) test. The BACs are not normally distributed, but the average BAC is 0.075 and the standard deviation is 0.02. The legal limit is 0.08. One particular day, the NOPD pulls over a random 40 people.  What is the probability that the *average* BAC for these 40 people is less than 0.07? (Please round your answer to 3 decimal places: ex, 0.123)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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 Every Mardi Gras, the NOPD sets up a checkpoint where they pull over random drivers for a Blood Alcohol Content (BAC) test. The BACs are not normally distributed, but the average BAC is 0.075 and the standard deviation is 0.02. The legal limit is 0.08. One particular day, the NOPD pulls over a random 40 people. 

What is the probability that the *average* BAC for these 40 people is less than 0.07? (Please round your answer to 3 decimal places: ex, 0.123)

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