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.   What is the approximateapproximate probability that a batch of 100 chips will contain at least 6 whose lifetimes are more than 3.0 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 Poisson distribution's ability to approximate a Binomial!

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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.

 

What is the approximateapproximate probability that a batch of 100 chips will contain at least 6 whose lifetimes are more than 3.0 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 Poisson distribution's ability to approximate a Binomial!

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