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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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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