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Round your response to at least three decimal places. (If necessary, consult a l

ID: 2857679 • Letter: R

Question

Round your response to at least three decimal places.

(If necessary, consult a list of formulas.)

The workers' union at a particular university is quite strong. About 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 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members?

Round your response to at least three decimal places.

(If necessary, consult a list of formulas.)

Explanation / Answer

n=4

r =2

p=96% =96/100 =0.96

q =1-p=0.04

probability in Binomial distribution P(x=r)= nCr pr (1-p)n-r

the probability that exactly 2 of the workers interviewed are union members=P(X=2)

=4C2(0.96)2(0.04)2

=0.0088

the probability that exactly 2 of the workers interviewed are union members=0.0088