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# PS1 - is 1 blue or white 2 numbered 1 2 3 4 or 5 3 red or...

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Problemset 1, Econ 500 Helle Bunzel Fall 2006 Problem 1 At Roanoke College it is known that 1 3 of the students live o/ cam- pus. It is also known that 5 9 of the students are from within the state of Virginia and that 3 4 of the students are from out of state or live on campus. What is the probability that a student selected at random from Roanoke College is from out of state and lives on campus? Problem 2 A hat contains twenty white slips of paper numbered from 1 through 20, ten red slips of paper numbered from 1 through 10, forty yellow slips of paper numbered 1 through 40, and ten blue slips of paper numbered from 1 through 10. If these 80 slips of paper are thoroughly shu› ed so that each slip has the same probability of being drawn, °nd the probabilities of drawing a slip of paper that
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Unformatted text preview: is 1. blue or white. 2. numbered 1, 2, 3, 4 or 5. 3. red or yellow and numbered 1, 2, 3, or 4. 4. numbered 5, 15, 25, or 35. 5. white and numbered higher than 12 or yellow and numbered higher than 26. Problem 3 The members of a consulting &rm rent cars from three rental agen-cies: 60 percent from agency 1, 30 percent from agency 2, and 10 percent from agency 3. If 9 percent of the cars from agency 1 need a tune-up, 20 percent of the cars from agency 2 need a tune-up, and 6 percent of the cars from agency 3 need a tune-up, what is the probability that a rental car delivered to the &rm will need a tune-up? 1...
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