2. Show that E[Y] = 0 P(Y > y) dy - 0 P(Y...

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2. Show that E[Y] = ∫0 P(Y > y) dy - ∫0 P(Y < -y) dy HINT: Show that

0 P(Y < -y) dy = -∫-∞0 xfY(x) dx

0 P(Y > y) dy = ∫0 xfY(x) dx

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