Question: 2. (50 points) For the function given below: f(x) = 3e-c, x 2 0 (a) Find the constant c so that f(x) is a

2. (50 points) For the function given below: f(x) = 3e-c, x

2. (50 points) For the function given below: f(x) = 3e-c, x 2 0 (a) Find the constant c so that f(x) is a valid pdf of the random variable X. (b) What is the cumulative distribution function of X. (c) Find the 79th percentile of X. (d) Compute the mean of X. (e) Find the variance.

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