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| rev | Bot | (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Suppose that <math>R^2 = X^2 + Y^2</math>. Find <math>f_{R^2}</math> and <math>f_R</math> if <math display="block"> \begin{eqnarray*} f_X(x) &=& \frac 1{\sqrt{2\pi}\sigma_1} e^{-(x - \mu_1)^2/2\sigma_1^2} \\ f_Y(x) &=& \frac 1{\sqrt{2\pi}\sigma_...") | Jun 9'24 at 4:26 | +529 |