試題詳解

269. An insurance company has two divisions, auto and property. Total annual claims, X, in the auto division follow a normal distribution with mean 10 and standard deviation 3. Total annual claims, Y, in the property division follow a normal distribution with mean 12 and standard deviation 4.

Assume that X and Y are independent.

Calculate the probability that total overall claims, X + Y, will not exceed 29.
(A) 0.61
(B) 0.69
(C) 0.78
(D) 0.84
(E) 0.92