試題詳解

123. A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0, 60] and are independent. The insurer covers 100% of each claim.
Calculate the probability that the total benefit paid to the policyholder is 48 or less.
(A) 0.320
(B) 0.400
(C) 0.800
(D) 0.892
(E) 0.924