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4. Suppose X ~N(30, 144), and W~N(40, 225). 4a. If X and W are uncorrelated, find the mean and variance of X + 2W. 4b.

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4. Suppose X ~N(30, 144), and W~N(40, 225). 4a. If X and W are uncorrelated, find the mean and variance of X + 2W. 4b. Find the probability that X + 2W > 120. Henceforth, suppose that X and W have a correlation coefficient p=-.25. 4c. What is the covariance of X and W? 4d. Find the probability that X + 2W > 120, 4e. Find the probability that 50

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