Question: The continuous random variable X has cumulative distribution function given by F(x)= x- for x < 0 x for 0x2 for x > 2

The continuous random variable X has cumulative distribution function given by F(x)= x- for x < 0 x for 0x2 for x > 2 Part(a) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than and the other is greater than. 0.25 Part(b) Find P(X > ). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(c) Find Var(X), correct to 2 decimal places. 0.2222 Part(d) Find E(X), correct to 2 decimal places. 0.75 Part(e) Find the value of q such that P(X < q) = 1. Give your answer as a decimal correct to 3 decimal places. 0.59 Part(f) Find the median of X, correct to 2 decimal places. 0.59

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