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Unformatted text preview: λ i = ( i + 1) λ and death rates μ i = i , i ≥ 0. 1. Determine the expected time to go from state 0 to state 4. 2. Determine the expected time to go from state 2 to state 5. Problem 4: (Problem 9, p. 408) The birth and death process with parameters λ n = 0 and μ n = μ , ( n > 0), is called a pure death process. ±ind p ij ( t ). Problem 5: (Problem 14, p. 409) Potential customers arrive at a fullservice , onepump gas station at a Poisson rate of 20 cars per hour. However, customers will enter the station only if there are no more than two cars at the pump (one being served and one waiting).Suppose the amount of time required to service a car is exponentially distributed with expectation of Fve minutes. 1. What fraction of the attendants time will be spent servicing cars? 2. What fraction of potential customers are lost?...
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This note was uploaded on 04/15/2010 for the course STAT 416 taught by Professor Denker during the Spring '08 term at Penn State.
 Spring '08
 DENKER
 Stochastic Modeling

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