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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!

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!

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 60CR
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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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