4. Suppose that X is a discrete random variable such that P(X = 0) = 0.4, P(X = 3) = 0.3, P(X = 6) = 0.1 and P(X = 7) =

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4. Suppose that X is a discrete random variable such that P(X = 0) = 0.4, P(X = 3) = 0.3, P(X = 6) = 0.1 and P(X = 7) =

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4. Suppose that X is a discrete random variable such that P(X =
0) = 0.4, P(X = 3) = 0.3, P(X = 6) = 0.1 and P(X = 7) = 0.2.
(a) Find the expected value of X.
(b) Find the variance of X.
(c) Find the cdf of X.
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