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The rate of under-compensation for working in manual labor is 93%. If 1000 people who are...

The rate of under-compensation for working in manual labor is 93%. If 1000 people who are working in manual labor,

What is the mean for the number who are under-compensated out of 1000?

What is the standard deviation of the number of people under-compensated out of 1000?   

What are the usual limits for the number of workers under-compensated out of 1000?

Math   Statistics-And-Probability   
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Answer #1

Let X be the number who are under-compensated out of 1000. Then X ~ Binomial(n = 1000, p = 0.93)

Mean for the number who are under-compensated out of 1000 = np = 1000 * 0.93 = 930

Standard deviation of the number of people under-compensated out of 1000 =

= = 8.068457

The usual limits for the number of workers under-compensated out of 1000 lie within 2 standard deviations from mean.

(930 - 2 * 8.068457 , 930 + 2 * 8.068457)

(914, 946) Rounding to the nearest integer

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