Question: Let X be a normal random variable with 10 and 1.5 and Y be a normal random variable with 2

Let X be a normal random variable with   10 and

  1.5 and Y be a normal random variable with  2 and

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

(a) P(X  9, Y  2.5)

(b) P(X 8, Y  2.25)

(c) P(8.5  X  11.5, Y 1.75)

(d) P(X  13, 1.5  Y  1.8)

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