manufacturer knows that their items have a normally distributed length, with a mean of 12.3 inches, and standard deviation of 3.6 inches.If 11 items are chosen at random, what is the probability that their mean length is less than 11 inches?

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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 manufacturer knows that their items have a normally distributed length, with a mean of 12.3 inches, and standard deviation of 3.6 inches.

If 11 items are chosen at random, what is the probability that their mean length is less than 11 inches?
 
 
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