SOLUTION: A local county has an unemployment rate of 4.7%. A random sample of 17 employable people are picked at random from the county and are asked if they are employed. Find the probabili

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Question 1191085: A local county has an unemployment rate of 4.7%. A random sample of 17 employable people are picked at random from the county and are asked if they are employed. Find the probability that exactly 5 in the sample are unemployed. (The distribution is a binomial. Round your answers to 4 decimal places.)
Answer by ikleyn(52782) About Me  (Show Source):
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A local county has an unemployment rate of 4.7%. A random sample of 17 employable people
are picked at random from the county and are asked if they are employed.
Find the probability that exactly 5 in the sample are unemployed.
(The distribution is a binomial. Round your answers to 4 decimal places.)
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It is the binomial type probability distribution.


The number of trials n= 17; the probability of a success individual trial is  0.047,  and the number of success trials k = 5. 


    P = C%5B17%5D%5E5%2A0.047%5E5%2A%281-0.047%29%5E%2817-5%29 = %28%2817%2A16%2A15%2A14%2A13%29%2F%281%2A2%2A3%2A4%2A5%29%29%2A0.047%5E5%2A0.953%5E12 = 0.0007964   (rounded).     ANSWER

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.