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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
20 Nov 2021

Given information

Use the following information to answer the next two exercises: The life of Sunshine CD players is normally distributed with a mean of  years and a standard deviation of    years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts.

Step-by-step explanation

Step 1.

A normal distribution is a continuous variable with the probability distribution function given as follows:

 

Where  is the mean of the distribution and is the standard deviation.

The notation for the random variable is , if are the mean and the standard normal distribution respectively.

Therefore, the given information in the problem tells that,

The random variable  follows the normal distribution with a mean of years and a standard deviation of years.

Mathematically it can be written as:

 

 

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