A company provides insurance to an arena for losses due to power failure: (i) The number of
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Question:
A company provides insurance to an arena for losses due to power failure: (i) The number of power failures in a year follows a Poisson distribution with mean 1. (ii) The loss amount per power failure is: a loss of 10,000 with probability 0.3; a loss of 20,000 with probability 0.3; and a loss of 50,000 with probability 0.4. (iii) The number of power failures and loss amounts are mutually indepen- dent. (iv) There is an annual deductible of 30,000. Calculate the expected amount of claims paid by the insurer in one year
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