Question: Let X and Y be independent Gaussian distributed random variables with mean 0 and variance 1. Find a)Joint pdf of U=2X+Y and V = -Y.

Let X and Y be independent Gaussian distributed random variables with mean 0 and variance 1. Find

a)Joint pdf of U=2X+Y and V = -Y.

b)Conditional distribution of V|U

c) Find probability P[ V<-3 | U>1 ]

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