A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.5 years, and standard deviation of 0.6 years. If you randomly purchase 13 items, what is the probability that their mean life will be longer than 2 years?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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**Problem Statement:**

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.5 years, and a standard deviation of 0.6 years.

If you randomly purchase 13 items, what is the probability that their mean life will be longer than 2 years?
Transcribed Image Text:**Problem Statement:** A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.5 years, and a standard deviation of 0.6 years. If you randomly purchase 13 items, what is the probability that their mean life will be longer than 2 years?
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