Chapt 10g - tributed with a mean of 1/ and then either splits into two identical particles with probability p or disappears with probability 1-p

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10.11 Problems 393 a. Give the state-transition-rate diagram of the process. b. What is the probability that an arriving customer sees exactly one taxi at the station? c. What is the probability that an arriving customer goes to another taxi- cab company? 10.55 Consider a collection of particles that act independently in giving rise to succeeding generations of particles. Suppose that each particle, from the time it appears, waits a length of time that is exponentially dis-
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Unformatted text preview: tributed with a mean of 1 /λ and then either splits into two identical particles with probability p or disappears with probability 1-p . Let X ( t ) , 0 ≤ t < ∞ , denote the number of particles that are present at time t . a. Find the birth and death rates of the process. b. Give the state-transition-rate diagram of the process. This page intentionally left blank...
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This note was uploaded on 01/05/2010 for the course STAT 350 taught by Professor Carlton during the Fall '07 term at Cal Poly.

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Chapt 10g - tributed with a mean of 1/ and then either splits into two identical particles with probability p or disappears with probability 1-p

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