試題詳解

86. The amounts of automobile losses reported to an insurance company are mutually independent, and each loss is uniformly distributed between 0 and 20,000. The company covers each such loss subject to a deductible of 5,000.
Calculate the probability that the total payout on 200 reported losses is between 1,000,000 and 1,200,000.
(A) 0.0803
(B) 0.1051
(C) 0.1799
(D) 0.8201
(E) 0.8575