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

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統計: A(0), B(1), C(0), D(0), E(1) #3239448

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