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Problem

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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.

The following figure is given:

Step-by-step explanation

Step 1.

The probability gives the likelihood of a specific event that it will occur.

The value of probability lies between  and  The probability of a random variable say  is usually denoted by .

Therefore, the probability of the random variable assuming any specified value is denoted by .

The probability of the random variable assuming less than or left of any specified value is , and the probability of the random variable assuming more than or right of any specified value is .

Therefore, the area to the left of in the given probability statement represents the probability of the random variable taking values less than .  

In mathematical notations, this can be written as,  

.  

 

 

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