Question: 1) Let X be a continuous random variable. f(x) = [2e-k 2e-kx x 0 x < 0 a) For what value of k is

1) Let X be a continuous random variable. f(x) = [2e-k 2e-kx x 0 x < 0 a) For what value of k is f a probability density function? b) Find P(1 < x < 5) using the same k value you found it in part a. c) Find the expected value of X using the same k value you found it in part a.

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