Question: . Consider two independent standard Normal random variables V, W wi'i'd' N(0, 1), and dene the linear transformations: X=1+V+W Y=2V+2W (a) (2 points) Find the

. Consider two independent standard Normal random variables V, W wi'i'd' N(0, 1), and dene the linear transformations: X=1+V+W Y=2V+2W (a) (2 points) Find the (marginal) distribution of X. (b) (2 points) Find the conditional distribution of X given V = 1. (c) (2 points) Find the (joint) distribution of X, Y. (01) (2 points) Find the conditional distribution of X given Y = 1. (Note: you can just specify the distributions' name 8!, parameters for parts (ad).) (e) (4 points) Find the probability P(X

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