The workers union at a University is quite strong. About 94% of all workers employed by the university belong to the worker's union. Recently the worker's 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 strike.
(a) 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.
(b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.