Question: Give answers (6 points) The continuous random variable X has a probability density function (pdf) given by f(z) = 1 - x for 0 S

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(6 points) The continuous random variable X has a probability density function (pdf) given by f(z) = 1 - x for 0 S x - 2 otherwise Part(a) Find P(X > - ). Give your answer as a decimal, correct to 2 decimal places. Part(b) 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 . Part(c) Find E( v X ), correct to 2 decimal places. Part(d) Find the median of X, correct to 2 decimal places. Part(e) Find E(X), correct to 2 decimal places. Part(f) Find the value of q such that P(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- . The order in which we take the observations matters. Part(b) Find P(X > =). Give your answer as a decimal, correct to 2 decimal places. Part(c) Find the value of c correct to one decimal place given that E(X + c) = 4E(X - c). Part(d) Find the median of X, correct to 2 decimal places. Part(e) Find Var(X), correct to 2 decimal places. Part(f) Find E(X), correct to 2 decimal places

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