The workers' union at a particular university is quite strong. About 96% 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 5 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 4 of the workers interviewed are union members? Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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The workers' union at a particular university is quite strong. About 96% 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 5 workers (chosen at random) at the university to get their opinions on the strike.
What is the probability that exactly 4 of the workers interviewed are union members?
Round your response to at least three decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text:The workers' union at a particular university is quite strong. About 96% 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 5 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 4 of the workers interviewed are union members? Round your response to at least three decimal places. (If necessary, consult a list of formulas.)
Expert Solution
Step 1

Given:

Probability of worker employed is of union member is p=0.96

Sample size, n=5

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