Icek\": if :L' 2 [l1 0 otherwise. 1 Let X be a continuous random variable with expected value EUC] = Z and the exponential density function x) 2 { for a constant k > 0. Hint: In class we showed fox lamehail: = i. We can use this result directly when solvlng this question {a} [2 points) Find 1:. {b} (4 points] Compute the variance Var[X]. [cl (4 points] Let Y = g. Compute the standard deviation 0(X l Y)