Suppose that a random variable, X has the probability distribution
FX(x) = {0 if x < 0
(x/2)+(1/4) if 0 greaterthanorequalto x < 1
C-((e^-x)/(3)) if 1 greaterthanorequalto x < infinity} (that is C minus (e^(-x)/3)
Answer the following questions (a) What is the value of the constant C? (b) What is the corresponding mixed density? (c) What is the expectation of X? (d) What is the variance of X?