A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.9 years, and standard deviation of 3 years. The 9% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. Submit Question

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Question 3**

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.9 years, and standard deviation of 3 years.

The 9% of items with the shortest lifespan will last less than how many years?

Give your answer to one decimal place.

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Transcribed Image Text:**Question 3** A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.9 years, and standard deviation of 3 years. The 9% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. [Text Box] Submit Question
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Normal distribution is used for calculating the probability of a continuous variable when the data is more or less symmetric. So, a normal distribution curve is bell shaped, in which the highest point of the curve indicates the value of the highest probability, and the values of probability decrease on both sides of the curve and eventually become zero.

The formula to compute the z-score is:

z-score=Raw score-Population meanStandard deviation

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