3 Let X N(0, 1) and Y N(0, 1) be independent random variables. Find the joint probability...
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3 Let X N(0, 1) and Y N(0, 1) be independent random variables. Find the joint probability density function of R = X2+ Y2 and 0 = arctan(Y/X). Show that R and are independent. Note that (R, 0) is the polar coordinate representation of (X, Y).
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