Question: Hello! I need help with following probability problem. Thank you in advance..! Let X and Y be independent random variables, where o X is uniform

Hello! I need help with following probability problem. Thank you in advance..!

Let X and Y be independent random variables, where o X is uniform on [0, 1], and 0 Y is a standard normal random variable. (a) (2 points) Write down Var(X) and Var(Y). You don't need to justify your answer. (b) (2 points) Find Var(6X Y). (c) (3 points) Find the correlation Corr(6X Y, 2Y)

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