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Exam 1

# Exam 1 - ENMGT 571 Managerial Statistics I Exam I 1 Solve...

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ENMGT 571 Managerial Statistics I Exam I 1. Solve the following problems: I. A small manufacturing company will start operating a night shift. There are 25 machinists employed by the company. (12 points) a) If a night crew consist of three machinists, how man different crews are possible? b) If the machinists are ranked 1,2,……20, in order of competence, how many of these crews would not have the best machinist? c) How many of the crews would have at least 1 of 10 best machinists? d) If one of these crews is selected at random to work on a particular night, what is the probability that the best machinist will not work that night? II. Suppose I fly to New York on airline X and return to Los Angeles on airline Y. Let A = {X losses my baggage} and B ={Y losses my baggage}. If A and B are independent events with P(A) > P(B), P(A∩B) = .0002 and P(A B) = .03, determine P(A) and P(B) (12 points) III. A real estate agent is showing homes to a prospective buyer. There are twelve homes in the desired price range listed in the area. The buyer has time to visit only five of them. (15 points) a) In how many ways could the five homes be chosen if the order of visiting is considered?

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