Hw8_ORIE361_2008

# Hw8_ORIE361_2008 - ORIE 361/523 Homework 8 Instructor: Mark...

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Unformatted text preview: ORIE 361/523 Homework 8 Instructor: Mark E. Lewis due April 2, 2008 (drop box) 1. During the winter, snowstorms hit Ithaca according to a Poisson process. People believe that on average, Ithaca receives 4 snowstorms during February. On a particular February, we know that there were exactly 3 snowstorms. Given this information: (a) What is the probability that all 3 snowstorms occurred during the first half of the month? (b) What is the probability that at least 1 snowstorm occurred during the first week of the month? (You may assume there are exactly 4 weeks in February) (c) If people later found out that historical records show that on average, Ithaca receives 5 snowstorms in February (instead of 4). Keeping all other information unchanged, will our updated results in (a) and (b) be different? 2. An amateur criminal is comtemplating shoplifting from a store. He knows that patrolling police officers walk by the store according to a Poisson process of rate per minute. He believes that it takes him...
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## This note was uploaded on 03/01/2010 for the course ORIE 361 taught by Professor Lewis,m. during the Spring '07 term at Cornell University (Engineering School).

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Hw8_ORIE361_2008 - ORIE 361/523 Homework 8 Instructor: Mark...

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