Dental Insurance An insurance policy reimburses dental expense, X, up to a maximum benefit of 250. The probability density function for X is -0.004x for x 2 0 f(x) = otherwise, where c is a constant. Calculate the median benefit for this policy. Choose one of the following. (Hint: As long as the expenses are less than 250, the expenses and the benefit are equal.) Source: Society of Actuaries. (a) 161 (b) 165 (c) 173 (d) 182 (е) 250

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