Question: Problem 7. Assume that random variables X ~ /(-1,3) and Y ~ /(1, 2) are mutually inde- pendent. Determine the probability distribution of the following

Problem 7. Assume that random variables X ~ /(-1,3") and Y

Problem 7. Assume that random variables X ~ /(-1,3") and Y ~ /(1, 2") are mutually inde- pendent. Determine the probability distribution of the following random variables. (i) 2X + 3Y; (5pts) (ii) (*+,12) / (4 12 ). (5pts)

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