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111hw5 - Homework 5 550.111 Statistical Analysis I Spring...

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Homework 5, 550.111 Statistical Analysis I, Spring 2011 At the end of this assignment you will find a list of useful values for Φ. Problem 1: Suppose X = the number of patients needing beds at a particular hospital tomorrow has a Poisson distribution with expected value 2 . 8. Just how many beds are needed so that there is at least an 90% chance that there will not be a shortage of beds tomorrow? Problem 2: Suppose that Y = the number of earthquakes anywhere in the world next year of magnitude 7 . 8 or greater is a Poisson random variable with expected value 1 . 6. a) What is the probability of having between 2 and 4 such earthquakes (inclusive) next year? b) What is the probability that there will be at least one such earthquake next year? Problem 3: There are two noncontagious diseases A and B, and suppose that disease A occurs in 30% of the population and disease B occurs in just 2% of the population. Now suppose that there is a particular group of 125 randomly selected people which we are interested in.

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