A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14 years, and standard deviation of 0.8 years. If you randomly purchase 4 items, what is the probability that their mean life will be longer than 15 years?

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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Question 1
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14 years, and
standard deviation of 0.8 years.
If you randomly purchase 4 items, what is the probability that their mean life will be longer than 15 years?
Transcribed Image Text:Question 1 A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14 years, and standard deviation of 0.8 years. If you randomly purchase 4 items, what is the probability that their mean life will be longer than 15 years?
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