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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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