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exam2_100a_f10

# exam2_100a_f10 - University of California Los Angeles...

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University of California, Los Angeles Department of Statistics Statistics 100A Instructor: Nicolas Christou Exam 2 16 November 2010 Name: Problem 1 (25 points) Answer the following questions: a. Many people cancel their reservations at hotels at the last minute. Therefore, most hotels overbook when possible. That is, they make more reservations that they have rooms. A particular hotel has 90 rooms, and, on the average, 20% of the people with reservations cancel them. Suppose that for a particular night the hotel has 100 reservations. Approximate the probability that more people will show up with reservations than they have rooms for? b. Suppose that accidents on a particular road occur as a Poisson process at a rate of two per month. Approximate the probability that in 18 months there will be more than 30 accidents?

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Problem 2 (25 points) Answer the following questions: a. The graph on the previous page shows three gamma densities, Γ(3 , 1) , Γ(10 , 1), and Γ(1 , 1). Please identify which one is
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exam2_100a_f10 - University of California Los Angeles...

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