practice1 - Statistics 400 Exam 1 Practice Problems 1....

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Unformatted text preview: Statistics 400 Exam 1 Practice Problems 1. Every day, Tom makes a return trip to campus either by bus, or by driving. If it is raining, he gets the bus with probability 0.9 and drives with probability 0.1. If it is fine, he gets the bus with probability 0.2, and drives with probability 0.8. It rains with probability 0.25 and is fine with probability 0.75. Define the following events for Toms travel to campus: B = { bus } , D = { drive } , R = { rain } , F = { fine } . (a) Find P ( B ). (b) Find P ( F | B ). (c) Find P ( B R ). 1 2. A rental car service facility has 10 foreign cars and 15 domestic cars waiting to be serviced on a particular Saturday morning. Because there are so few mechanics, only 6 can be serviced. (a) If the 6 cars are chosen at random, what is the probability that 3 of the cars selected are domestic and the other 3 are foreign? (b) If the 6 cars are chosen at random, what is the probability that at most one domestic car is selected?...
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practice1 - Statistics 400 Exam 1 Practice Problems 1....

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