In a string of 100 Christmas lights, there of use (if one bulb fails, it does not affect the others). Find the approximate probability that two or a .01chancethat a given bulb will fail with in the first year more bulbs will fail within the first year.
In a string of 100 Christmas lights, there of use (if one bulb fails, it does not affect the others). Find the approximate probability that two or a .01chancethat a given bulb will fail with in the first year more bulbs will fail within the first year.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Problem 44SE
Chapter
CH6
Problem
44SE
In a string of 100 Christmas lights, there is a .01chancethat a given bulb will fail with in the first year
of use (if one bulb fails, it does not affect the others). Find the approximate probability that two or
more bulbs will fail within the first year.
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In a string of 100 Christmas lights, there is a 0.01 chance that a given bulb will fail within the first year
of use (if one bulb fails, it does not affect the others).
Here n is very large so we use Poisson approximation.
Consider,
-100x 0.01
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