The continuous random variable X has the following probability density function (pdf), for some positive constant c, f(x) = for 0 ≤ x ≤ c. (a). Prove that c= √3-1. 3 (1+x)³ (a) Accept c = √3-1. Plot f(x) in the range. (b) Find E(X); Var (X) using numerical integration (c) Use Inversion method, find 20 random numbers from X
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