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Please help with these distribution problems in probability and statistics, thank you! 3. This exercise requires you to review the definitions of certain distributions seen

Please help with these distribution problems in probability and statistics, thank you!

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3. This exercise requires you to review the definitions of certain distributions seen in 120A/B, that also were used in 126: Suppose X1, . .., X6 N(3, 16), and that Y1, Y2 ~N(0, 1), and that X1, ..., X6 are independent of Y1 and Y2. Clearly write down the distribution (including distribution name and the numeric values of any parameters or degrees of freedom if appropriate) for each of the following random variables. Provide clear reasoning in each case by stating the results and definitions you are using from pre-requisite classes

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