Which of the following is NOT an assumption of the Law of Large Number for a large number of random variables? OA. Each random variable has identical expectation. OB. Each random variable has identical variance and each variance must equal to 1. Oc. C. The covariance between any two random variables is zero. OD. none of the above. OD.

II. Determine whether each of the following can be used to represent the probability distribution of a random variable X. If you answered yes, explain why. 1. P(X) = for x = 1, 2, 3, ., 8 2. P(X) = for x = 1, 2, 3, .., 9 3. P(X) for x = 1, 2, 3, 4 3-* 12 %3D 4. P(X) for x = 1, 2, 3, 4 25x 5. P(X) = for x = 1, 2, 3, 4, 5

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Find the mean and variance of the following discrete random variable distribution.?    ?(?)0    0.35 1     0.45 2     0.16 3     0.04