Let a r.v. X have the density (a) Find c, and the probabilities P(0.5 X

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Let a r.v. X have the densityimage

(a) Find c, and the probabilities P(0.5 ≤ X ≤ 1), P(X = 1), P(X > 3), and P(X

(b) Find and graph the distribution function. 

(c) Find E{X} and E{X7}. 

(d) Find Var{X}.

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