Unformatted text preview: X . Problem 4: (Problem 66, p. 358) Policyholders of a certain insurance company have accidents at times distributed ac-cording to a Poisson process with rate λ . The amount of time from when the accident occurs until the claim is made has distribution G . Find the probability that there are exactly n incured but as yet unreported claims at time t . Problem 5: (Problem 60, p. 356) Customers arrive at a bank at Poisson rate λ . Suppose 2 customers arrived during the ±rst hour. What is the probability that (a) both arrived during the ±rst 20 minutes? (b) at least one arrived during the ±rst 20 minutes?...
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- Spring '08
- Stochastic Modeling, Probability theory, Exponential distribution, Poisson process, insurance company, 20 minutes, one hour