(a) Check whether or not the function fX(x) is a probability density function

(b) Find the Cumulative Distribution Function (CDF) of X.

(c) Calculate P (−1 ≤ X ≤ 1) and P (X ≥ 2).

(d) Calculate the expectation and the variance of X.

(e) Find the moment generating function of X.

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defined as: 00 01 02 03 04 05 06 Consider X a real-random variable with a probability density function if a ≤-2 (x+2) if -2≤* ≤0 if r 20 fx(x) = 1 4 - e 2 The density function f(x) C defined as: 00 01 02 03 04 05 06 Consider X a real-random variable with a probability density function if a ≤-2 (x+2) if -2≤* ≤0 if r 20 fx(x) = 1 4 - e 2 The density function f(x) C