The continuous random variable X has a probability density function (pdf) given by [1- x for 0 < x< 2 f(x) = otherwise Part(a) Find Var(X), correct to 2 decimal places. Part(b) Find E(VX), correct to 2 decimal places. Part(c) Find the value of q such that P(X < q) = 1. Give your answer as a decimal correct to 3 decimal places. Part(d) Find E(X), correct to 2 decimal places. Part(e) Find P(X > ). Give your answer as a decimal, correct to 2 decimal places. Part(f) Find the value of c correct to 2 decimal places given that E(X+c) = 4E(cX).

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