Help with a step by step answer would help as I struggle with this. The workers\

Question

Help with a step by step answer would help as I struggle with this.

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.

Explanation / Answer

X ~ Binomial (n,p)

Where n = 4 , p = 0.94

Binomial probability distribution is

P(X) = nCx px (1 - p)n-x

Therefore,

P(X = 3) = 4C3 0.943 0.06

= 0.199

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.