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Unformatted text preview: claim amount paid by time t. (iv) The claim is payable immediately. Calculate the probability of ruin. (Ans ¾) (1) An insurer’s claims follow a compound Poisson claims process with two claims expected per period. Claim amounts can be only 1, 2 or 3 and these are equal in probability. Calculate the continuous premium rate that should be charged each period so that the adjustment coefficient will be 0.5. (Ans 7.8) (2) A community is able to obtain plasma at the continuous rate of 22 units per day. The daily demand for plasma is modeled by a compound Poisson process where the number of people needing plasma has mean 20 and the number of units needed by each person is approximated by an exponential distribution with mean 1. Assume all plasma can be used without spoiling. At the beginning of the period there are 20 units available. Calculate the probability that there will not be enough plasma at some time. (Ans 0.148)...
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 Spring '11
 CharlesDann
 Poisson Distribution, Probability, Probability theory, Exponential distribution, Poisson process

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