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Let Y be a continuous random variable described by the p.d.f
f ( y) = 3(1- y^2 ) 0 <= y <= 1
(a) Show that f ( y) represents a valid p.d.f
(b)P(|Y - 1/2| > 1/4)
(c) Sketch the graph of f ( y) and show the area representing the desired probability.
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