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The number of claims per policy follows a Poisson distribution. The claim amounts have mean 500 and are independent of the number of claims. Extensive

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The number of claims per policy follows a Poisson distribution. The claim amounts have mean 500 and are independent of the number of claims. Extensive observation indicates the average number of claims per policy has been .05 in the past. Using a .9 probability level and a. 1 range parameter, find the value of the credibility factor, Z used to determine the credibility estimate of the risk premium for a portfolio of 10,000 policies that produced 750 claims during a recent exposure period, if all claims are for the same amount. a) 0 b) .017 c) .474 d) .526 e) 1

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