Assume the lifetime of a computer chip produced by a certain manufacturer is normally distributed with parameters μ=1.5 x 10^6 hours and σ=9 x 10^5 hours. Further assume the lifetime of each chip is independent of all other chips produced.   Different ProblemDifferent Problem: What is the approximateapproximateprobability that a batch of 100 chips will contain at least 65 whose lifetimes are less than 1.9 x 10^6 hours? Expression your probability to three decimal places. Hint: The derivation of your answer should rely on Normal distributions, Binomial distributions, and the Normal distribution's ability to approximate a Binomial!

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Assume the lifetime of a computer chip produced by a certain manufacturer is normally distributed with parameters μ=1.5 x 10^6 hours and σ=9 x 10^5 hours. Further assume the lifetime of each chip is independent of all other chips produced.

 

Different ProblemDifferent Problem: What is the approximateapproximateprobability that a batch of 100 chips will contain at least 65 whose lifetimes are less than 1.9 x 10^6 hours? Expression your probability to three decimal places.

Hint: The derivation of your answer should rely on Normal distributions, Binomial distributions, and the Normal distribution's ability to approximate a Binomial!

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