SOLUTION: The workers' union at a particular university is quite strong. About 94% of all workers employed by the university belong to the workers' union. Recently, the workers went on stri

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Question 1158282: The workers' union at a particular university is quite strong. About 94% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 3 of the workers interviewed are union members?
Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
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This problem is a binomial type probability distribution.


The number of trial n= 4; the probability of the success trial is  0.94,  and the number of success trial k = 3. 

P = C%5B4%5D%5E3%2A0.94%5E3%2A%281-0.94%29%5E1 = 4%2A0.94%5E3%2A0.06%5E1 = 0.1993 (rounded).     ANSWER