Answer Happy

The workers' union at a certain university is quite strong. About 96% 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. (if necessary, consult a list of formatas) (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. X (6) Quantity the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places D

Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While talking to her on the phone, we'll thoroughly shuffle a standard deck of 52 cards (which is made up of 13 hearts, 13 spades, 13 diamonds, and 13 clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total of 14 cards and gotten her suit guesses for each Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card. Answer the following (If necessary, consult a list of formulas.) (a) Estimate the number of cards in the sample for which clara correctly guesses the suit by giving the mean of the relevant distribution that is, the expectation of the relevant random variable). Do not round your response. 0 (b) Quantity the uncertainty of your estimate by olving the standard deviation of the distribution. Round your response to at least three decimal places. 0

Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 52% of its customers order their food to go. If this proportion is correct, what is the probability that in a random sample of 4 customers at Anita's, exactly 3 order their food to go? Round your response to at least three decimal places. (If necessary, consult a list of formulas) 0 ?