Question

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 5 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.)

Explanation:

Identify the parameters of the distribution

Using the Binomial Distribution knowledge point

$$
LATEXBLOCK0
$$

Calculate the binomial probability

Using the Binomial Probability Formula knowledge point

$$
LATEXBLOCK1
$$

Answer:

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 5 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.)

<blank>0.030</blank>