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# PS9 - 22 April 2009 IE 304 OPERATIONS RESEARCH III...

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22 April 2009 IE 304 OPERATIONS RESEARCH III: STOCHASTIC MODELS PS # 9 Question 1) Boğaziçi University library receives new books according to a Poisson distribution with mean 25 books per day. Each shelf in the stacks holds 100 books. Determine the followings: (a) The average number of shelves that will be stacked with new books each (30-day) month. (b) The probability that more than 10 bookcases will be needed each month, given that a bookcase has 5 shelves. Question 2) Boğaziçi University runs two shuttle buses on campus: red and green. The red line serves north campus and the green line serves south campus with a transfer station linking the two lines. Green buses arrive randomly (according to a Poisson distribution) at the transfer station every 10 minutes. Red buses also arrive randomly every 7 minutes. (a) What is the probability that two buses will stop at the station during a 5-minute interval? (b)

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PS9 - 22 April 2009 IE 304 OPERATIONS RESEARCH III...

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