A package of 8 AA batteries contains 2 batteries that are defective. A student randomly  select four batteries and replaces the batteries in his calculator.  i. What is the probability that all four batteries work?  ii. What is the mean and variance for the number of batteries that work?

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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A package of 8 AA batteries contains 2 batteries that are defective. A student randomly 
select four batteries and replaces the batteries in his calculator. 
i. What is the probability that all four batteries work? 
ii. What is the mean and variance for the number of batteries that work?  

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