Question: The continuous random variable X has a probability density function (pdf) given by f(x) = {1 [1-x for 0x2 otherwise Part(a) Two independent observations

The continuous random variable X has a probability density function (pdf) given by f(x) = {1 [1-x for 0x2 otherwise Part(a) Two independent observations of X are taken. Find the probability correct to 2 decima places that one is less than and the other is greater than Part(b) Find E(X), correct to 2 decimal places. 0.75 Part(c) Find E(X), correct to 2 decimal places. Part(d) Find Var(X), correct to 2 decimal places. 0.22 0.25 Part(e) Find P(X >). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(f) Find the median of X, correct to 2 decimal places. 0.59

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