試題詳解

84. You are given the following information about N, the annual number of claims for a randomly selected insured:

  Let S denote the total annual claim amount for an insured. When N = 1, S is exponentially distributed with mean 5. When N ＞ 1, S is exponentially distributed with mean 8.
 Calculate P(4 ＜ S ＜ 8).
(A) 0.04
(B) 0.08
(C) 0.12
(D) 0.24
(E) 0.25