Bluefish purchased at the Lime Beach Fishing Terminal produce a filet weight which has a mean of 4.5 pounds with a standard deviation of 0.8 pound. If you purchase five such fish, then what is the probability that you will have at least 21 pounds of filets?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Bluefish purchased at the Lime Beach Fishing Terminal produce a filet weight which has a mean of 4.5 pounds with a standard deviation of 0.8 pound. If you purchase five such fish, then what is the probability that you will have at least 21 pounds of filets?
Notice that in general 5 is a very small sample size to apply the Central Limit Theorem (CLT). However, the conclusion of the CLT holds even for small samples if the population distribution is normal or close to normal. Assume here that the population distribution of filet weights is close to norm

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