Based on Chapter: 9 Name: Assuming the binomial distribution is appropriate, if N = 6 and P = 0.50, the probability of getting exactly 5 P events = _________. ( 5 pts) Assuming the binomial distribution is appropriate, if N = 6 and P = 0.50, the probability of getting exactly 5 P events derives from evaluating which of the term(s) in the following expansion: P6 + 6P5Q + 15P4Q2 + 20P3Q3 + 15P2Q4 +6PQ5 + Q6 ( 10 pts) Suppose you gave a multiplechoice exam with 16 questions on it. Each question has 4 alternatives. What is the probability that a student who guesses at random on each of the 16 questions will score 4 or fewer correct answers? Assume that each alternative to each question is equally likely to be chosen. (10 pts) a. 0.6302 c. 0.0383 b. 0.7982 d. 0.0000 A local microbrewery believes it produces the best tasting dark beer in town. To make its case, seven volunteers are asked to participate in a beer tasting contest. Each volunteer is asked to taste 5 dark beers and to pick the one he/she prefers. Of the 5 dark beers, one is microbreweries and the other 4 are national favorites. What is the probability that none of the volunteers pick the microbrewery's beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection. (10 pts)