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Chapter 7: Q 48 (page 430)

The length of time a particular smartphone's battery lasts follows an exponential distribution with a mean of ten months. A sample of 64 of these smartphones is taken.

What is the distribution for the length of time one battery lasts?

Short Answer

Expert verified

The distribution for the length of time battery is .10 months

Step by step solution

01

Given Information

According to the given details, the length of time a particular smartphone's battery lasts follows the exponential distribution. The mean of the distribution is渭=10 months and the sample size is 64.

02

Step 2:  Explanation

he exponential distribution is used to determine how long a smartphone's battery lasts.

The exponential distribution's probability density function X~Exp(m), where mis the decay parameter is given as:

f(X)=me(-mX)

Where, X鈮�0and m>0. The following is the distribution of how long one battery lasts:

m=1渭

=.10 Months

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