Statistics And Probability Archive: Questions from October 25, 2022
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\( 13.4(\underbrace{*})(f) \) If \[ p_{X, Y}(x, y)=\left\{\begin{array}{ll} 2 \exp [-(x+y)] & 0 \leq y \leq x, x \geq 0 \\ 0 & \text { otherwise } \end{array}\right. \] find \( p_{Y \mid X}(y \mid x)2 answers -
2. Let \( f_{X, Y}(x, y)=\frac{1}{\pi} I_{D}(x, y) \) where \( D=\left\{(x, y): x^{2}+y^{2} \leq 1\right\} \) and let \( Z=\sqrt{X^{2}+Y^{2}} \). a) Find and sketch \( f_{Z} \). b) Find \( P(\{0.252 answers