The workers' union at a certain 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 a sample of 20 workers, chosen at random, to get their opinions on the strike.Answer the following.

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 2 of the workers interviewed are union members?Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

A union spokesperson claims that 75% of union members will support a strike if their basic demands are not met. A company negotiator believes the true percentage is lower and runs a hypothesis test. What is the conclusion if 87 out of a simple random sample of 125 union members say they will strike?For each of the two possible answers above, what error might have been committed, Type I or Type II, and what would be a possible consequence?

Estimate the number of workers in the sample who are union members by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.

8  A group of workers in a firm joins a trade union.What would the union be expected to do?1 pointA arrange for labour-saving technology to be introducedB discuss safety issues in the workplace with the employerC ensure job security by promoting the firm’s products through advertisingD negotiate new contracts with major buyers of the firm’s products

A group of workers in a firm joins a trade union.What would the union be expected to do?1 pointA arrange for labour-saving technology to be introducedB discuss safety issues in the workplace with the employerC ensure job security by promoting the firm’s products through advertisingD negotiate new contracts with major buyers of the firm’s products