A projectile is fired at a target. Suppose the distance X from the point of impact to the center of the target (in meter

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answerhappygod
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A projectile is fired at a target. Suppose the distance X from the point of impact to the center of the target (in meter

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A projectile is fired at a target. Suppose the distance X from the point of impact to the center of the target (in meters) is a random variable with pdf
f(x) = Cx(1 - x), 0<x<1.
(a) Determine the value of C so that f is a valid pdf.
(b) Find E(X).
(c) Find Var(X).
(d) Find the probability that the distance is greater than 0.4 meters and smaller than 0.9 meters
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