試題詳解

220. A motorist just had an accident. The accident is minor with probability 0.75 and is otherwise major.

Let b be a positive constant. If the accident is minor, then the loss amount follows a uniform distribution on the interval [0, b]. If the accident is major, then the loss amount follows a uniform distribution on the interval [b, 3b].

The median loss amount due to this accident is 672.

Calculate the mean loss amount due to this accident.
(A) 392
(B) 512
(C) 672
(D) 882
(E) 1008