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A random variable X has a probability function f(x) = Ax, 0 ≤ x ≤ 1,...

A random variable X has a probability function f(x) = Ax, 0 ≤ x ≤ 1, 0, otherwise.

a. What is the value of A? (Hint: intigral -inf to inf f(x)dx= 1.)

b. Compute P(0less than x less than 1/3)

c. Compute the cdf. of X.

d. Compute E(X).

e. Compute V(X).

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