Question: Let X be a normal random variable with 15.0 and 3 and Y be a normal random variable with

Let X be a normal random variable with   15.0 and   3 and Y be a normal random variable with   20 and

  1. Assume X and Y are independent. Find the following probabilities.

(a) P(X  12, Y  19)

(b) P(X 16, Y  18)

(c) P(14  X  16, Y 22)

(d) P(11  X  20, 17.5  Y  21)

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