Question: Let X be a random variable with the following CDF: a. What kind of random variable is X (discrete, continuous, or mixed)? b. Find the

Let X be a random variable with the following CDF:Fx (x) = 4 0 (1-e-*) + (1 - e-) + x 1 0 < x < 1 x < 0

a. What kind of random variable is X (discrete, continuous, or mixed)?

b. Find the (generalized) PDF of X.

c. Find P(X > 0.5), both using the CDF and using the PDF.

d. Find EX and Var(X).

Fx (x) = 4 0 (1-e-*) + (1 - e-) + x 1 0 < x < 1 x < 0

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