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Unformatted text preview: Spring 2009 OR3510/5510 Problem Set 7; due March 30 as usual Reading: We are into Section 6.5. x/y=page x, problem y in Ross. (1) 409/13 (2) 409/14 (3) A salesman flies around between Atlanta, Boston, and Chicago as follows. She stays in each city for an exponential amount of time with mean 1/4 month if the city is A or B, but with mean 1/5 month if the city is C. From A she goes to B or C with probability 1/2 each; from B she goes to A with probability 3/4 and to C with probability 1/4; from C she always goes back to A. (a) Find the limiting fraction of time she spends in each city. (b) What is her average number of trips each year from Boston to Atlanta? (4) A small computer store has room to display up to 3 computers for sale. Customers come at times of a Poisson process with rate 2 per week to buy a computer and will buy one if at least one is available. When the store has only computer left it places an order for 2 more computers. The order takes an exponentially distributed amount of time with mean 1 weekcomputers....
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- Summer '09
- Poisson Distribution, Probability theory, Harry, Markov chain