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Chapter 7: Q.7 (page 428)

An unknown distribution has a mean of 80and a standard deviation of 12. A sample size of 95is drawn randomly from the population.

Find the probability that the sum of the 95values is greater than 7650.

Short Answer

Expert verified

The value probability that the sum of 95values is greater than 7650is =0.3345

Step by step solution

01

Given Information

Given in the question that, mean =80

standard deviation is12

Find the probability that the sum of the 95 values is greater than 7,650.

02

Explanation

From the information given in the question, the sample size of 95is randomly drowned from the population with a mean of 80and the standard deviation is 12.

We have to use Ti-83 calculator to find the probability that the totality of 95values is greater than 7650.

For this, click on 2as , then DISTR, and then scroll down to the normal CDF option and enter the supplied details. After this, click on ENTER button on the calculator to have the preferred result.

03

Explanation

The screenshot is given below:

Therefore, the value probability that the sum of 95values is greater than 7650is:

=1-0.66548

=0.3345

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Most popular questions from this chapter

An unknown distribution has a mean of 80and a standard deviation of 12. A sample size of 95is drawn randomly from the population.

Find the probability that the sum of the 95values is less than 7400.

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