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Suppose that Y is a Normal Random Variable, (a) If W = -Y , nd the...

Suppose that Y is a Normal Random Variable,
(a) If W = -Y , nd the pdf of W, identify it and give it's parameters.
(b) Suppose X ~ Normal(muX , sigmaX2), Y ~ Normal(muY , sigmaY2), and X and Y are independent. Find and identify
the distribution of V = X - Y . (Hint, use your answer to part (a) )
(c) If muX = 2; sigmaX = 3; muY = 5; sigmaY = 4, use your answer to part (b) to nd P(X - Y > 0).

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