試題詳解

285. Appraisals of the value of a necklace are uniformly distributed on the interval [θ−3,θ +1], where θ is the actual price the owner paid for the necklace. Four mutually independent appraisals are obtained.

Let L denote the lowest of the four appraisals and H the highest.

Calculate P[L ＜ θ ＜ H].
(A) 0.152
(B) 0.188
(C) 0.600
(D) 0.680
(E) 0.996