An electrical firm manufactures light bulbs that have a length life with normal distribution, and mean equal to 800 hours, and a variance of 7. Find the probability that a random sample of 21 light bulbs will have a sample variance S² greater than 13.15. Find the probability that a random sample of 40 light bulbs will have a sample variance S² of at most 5.88.

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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An electrical firm manufactures light bulbs that have a
length life with normal distribution, and mean equal to 800
hours, and a variance of 7.
Find the probability that a random sample of 21 light bulbs
will have a sample variance S² greater than 13.15.
Find the probability that a random sample of 40 light bulbs
will have a sample variance S² of at most 5.88.
Transcribed Image Text:An electrical firm manufactures light bulbs that have a length life with normal distribution, and mean equal to 800 hours, and a variance of 7. Find the probability that a random sample of 21 light bulbs will have a sample variance S² greater than 13.15. Find the probability that a random sample of 40 light bulbs will have a sample variance S² of at most 5.88.
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