SOLUTION: 8. Playtime Toys has fifty employees of whom forty are members of the union. Five employees are selected at random to form a committee to meet with management to negotiate shift s

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Question 523192: 8. Playtime Toys has fifty employees of whom forty are members of the union. Five employees are selected at random to form a committee to meet with management to negotiate shift starting times.
a. What kind of probability distribution will you use to solve this problem?
b. What is the probability that four of the committee members will be union members?
c. What is the probability that four of the committee members with non union members?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Playtime Toys has fifty employees of whom forty are members of the union. Five employees are selected at random to form a committee to meet with management to negotiate shift starting times.
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Binomial Problem with n = 5 ; p(union) = 4/5
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a. What kind of probability distribution will you use to solve this problem?
Binomial
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b. What is the probability that four of the committee members will be union members?
P(x = 4) = 5C4*(4/5)^4(1/5) = 0.4096
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c. What is the probability that four of the committee members with non union members?
P(x = 1) = 5C1(4/5)(1/5)^4 = 0.0064
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Cheers,
Stan H.