Question: (l 5Pts) Three random variables have X1, X 2, X 3 have the covariance matrix 2 = 3 1 5 1 7 3 5 3

(l 5Pts) Three random variables have X1, X 2, X 3 have the covariance matrix 2 = 3 1 5 1 7 3 5 3 7 Find the covariance matrix of the random variables 2'1 = 2X1 + 3X2 + 4X3 22 2 X1 + 3X2 + 2X3 Z3 2 2X1 + 2X2 + 3X3| (ZOPts) Random variables J and K have the joint probability mass function . RU: k) = _1 k = k : a. 1What is the moment generating function of J'? b. What is the moment generating function of K? c. What is the probability mass function of M = J + K? d What is E[M4]? (20Pts) An unfair coin has the probability 0.6 of Heads. If this coin is ipped independently 10,000 times, what is the probability that the number of heads is between 5900 and 6050

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