A company finds that one out of every 5 workers it hires turns out to be unsatisfactory. Assume that the satisfactory performance of any hired worker is independent of that of any other hired workers. If the company hires 20 people, what is the probability that the following number of people will turn out to be satisfactory? (Round your answer to six decimal places.) exactly 12

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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 A company finds that one out of every 5 workers it hires turns out to be unsatisfactory. Assume that the satisfactory performance of any hired worker is independent of that of any other hired workers. If the company hires 20 people, what is the probability that the following number of people will turn out to be satisfactory? (Round your answer to six decimal places.)

exactly 12
Expert Solution
Step 1

given data 

P(unsatisfactory ) = 15 = 0.2

P( satisfactory) = p = 0.8

sample size (n) = 20

x = no. of satisfactory peoples

P(x=12) = ? 

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