Problem 9.5.An insurer pays aggregate claims in excess of the deductible d. Inreturn, they receive a stop-loss premium E[(S-d)+]. You model the aggregate losses S using acontinuous distribution. Moreover, you are given the following information about the aggregatelosses S:(i) E[(S-100)+] = 15,(ii) E[(S120)+] = 10,(iii) P[80 < S≤ 120] = 0.Find the probability that the aggregate claim amounts are less than or equal to 80.

It is given that an insurer pays aggregate claims in excess of the deductible d.

Answered: An insurer pays aggregate claims in…

A First Course in Probability (10th Edition)

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An insurer pays aggregate claims in excess of the deductible d. In p-loss premium E[(S-d)+]. You model the aggregate losses S using a Moreover, you are given the following information about the aggregate