If X1, X2,.., X100 are 100 random variables that are identically, independently and normally distributed with mean μ = 150 and variance σ2 = 100, what is the expected value and standard deviation of their average? What is the approximate probability that this average lies between

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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If X1, X2,.., X100 are 100 random variables that are identically, independently and normally distributed with mean μ = 150 and variance σ2 = 100, what is the expected value and standard deviation of their average? What is the approximate probability that this average lies between 147 and 153?

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