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m 58.5. [4B-F97:7 and 1999 C4 Sample:39) (3 points) You are given the following: ...

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m 58.5. [4B-F97:7 and 1999 C4 Sample:39) (3 points) You are given the following: The number of losses arising from m+ 4 individual insureds over a single period of observation is dis- tributed as follows: Number of Losses Number of Insureds 0 1 3 2 1 3 or more 0 The number of losses for each insured follows a Poisson distribution, but the mean of each such distri- bution may be different for individual insureds. The variance of the hypothetical means is to be estimated using semi-parametric empirical Bayesian methods with unbiased estimators, Determine all values of m for which the estimate of the variance of the hypothetical means will be greater than 0. (A) m>0 (B) m> 1 (C) m>3 (D) m>6 (E) m>9

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