A manufacturer knows that their items have a normally distributed length, with a mean of 15.5 inches, and tandard deviation of 2.8 inches. f one item is chosen at random, what is the probability that it is less than 13.5 inches long?

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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A manufacturer knows that their items have a normally distributed length, with a mean of 15.5 inches, and
standard deviation of 2.8 inches.
If one item is chosen at random, what is the probability that it is less than 13.5 inches long?
Transcribed Image Text:A manufacturer knows that their items have a normally distributed length, with a mean of 15.5 inches, and standard deviation of 2.8 inches. If one item is chosen at random, what is the probability that it is less than 13.5 inches long?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.5 years, and
standard deviation of 3.1 years.
If you randomly purchase one item, what is the probability it will last longer than 11 years?
Transcribed Image Text:A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.5 years, and standard deviation of 3.1 years. If you randomly purchase one item, what is the probability it will last longer than 11 years?
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