試題詳解

315. The random variable characterizes an insurer's annual property losses, where X1 is normally distributed with mean 16 and standard deviation 1.50. Similarly, the random variable characterizes the insurer's annual liability losses, where X2 is normally distributed with mean 15 and standard deviation 2.

The insurer's annual property losses are independent of its annual liability losses.

Calculate the probability that, in a given year, the minimum of the insurer's property losses and liability losses exceeds .
(A) 0.126
(B) 0.154
(C) 0.250
(D) 0.309
(E) 0.346