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Suppose that Kate and Anne enter into a pooling arrangement. Assume that both women have the following loss-distributions and that losses are independent.$50,000 with probability 0.005$20,000 with probability 0.01Loss = $10,000 with probability 0.02$ 0 with probability 0.965a. Write out the possible outcomes and the probability of each outcome for Kate and Anne after they enter into a pooling arrangement. That is, write out the probability distribution for each of the women after they enter into a pooling arrangement.b. Calculate the expected loss to each person prior to and subsequent to entering into a pooling arrangement.c. What happens to the standard deviation of the distribution of losses to each individual subsequent to the pooling arrangement?
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