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(6 points) The continuous random variable X has cumulative distribution function given by 0 for0 for 0 < z < 2 for 2 F(z) = 〈 z-4z2 Part(a) Find Var(X), correct to 2 decimal places. Part(b) Find E(X) correct to 2 decimal places. Part(c) Find P(X>) Give your answer as a decimal, correct to 2 decimal places. Part(d) Find E(X), correct to 2 decimal places. Part(e) Find the value of c correct to one decimal place given that E(Xc) 4E(X-c Part(t) 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 than3 The order in which we take the observations matters.

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