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stochastic methods 2. The random variable X has a density function (a) Determine c (so that fx is indeed a density function). (b) Calculate E(X) and V(X). (c) Determine the distribution function Fx(x) (d) Let Y = X, determine the density function fy. (Hint: use the result from (c).)fX(x)={c(1x2)01x1annars.

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stochastic methods 2. The random variable X has a density function (a) Determine c (so that fx is indeed a density function). (b) Calculate E(X) and V(X). (c) Determine the distribution function Fx(x) (d) Let Y = X, determine the density function fy. (Hint: use the result from (c).)fX(x)={c(1x2)01x1annars

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