Suppose that a random variable x has the probability

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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?

Reference no: EM13642608

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