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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber
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Finding and Interpreting Mean, Variance, and

Chapter 4, Problem 31E

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QUESTION:

Problem 31E

Finding and Interpreting Mean, Variance, and Standard Deviation In Exercise, find the (a) mean, (b) variance and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results.

Face of the Company Seventy-nine percent of workers know what their CEO looks like. You randomly select six workers and ask them whether they know what their CEO looks like. The random variable represents the number of workers who know what their CEO looks like.

 

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QUESTION:

Problem 31E

Finding and Interpreting Mean, Variance, and Standard Deviation In Exercise, find the (a) mean, (b) variance and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results.

Face of the Company Seventy-nine percent of workers know what their CEO looks like. You randomly select six workers and ask them whether they know what their CEO looks like. The random variable represents the number of workers who know what their CEO looks like.

 

ANSWER:

Solution:

Step 1 of 4:

Given 79% of workers know what their CEO looks like.

Then we randomly select 6 workers.

Here, p = 79%

p =

p = 0.79 and n=6.

Our goal is:

a). We need to find the mean.

b). We need to find the variance.

c). We need to find the standard deviation.

a). The mean formula is the product of the sample size and the productivity.

The mean formula is

 = np

We know that n=6 and p=0.79.

 = 60.79

 = 4.74

Therefore, the mean is 4.74.

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