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 0.08?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 0.08? (Please round your answer to 3 decimal places: ex, 0.123) 

Expert Solution
Step 1: Given information

The Blood alcohol content test( BAC) is not normally distributed..
The average value of the BAC test is mu equals 0.075,
The standard deviation is sigma equals 0.02.
The size of random samples is n equals 40.


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