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 (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
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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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