Consider the random variables with $X$ and $Y$ with joint density function given by\[f(x, y) = \begin{cases} k(y + x) & \text{when } x, y \in [0, 2] \\0 & \text{else}\end{cases}\]a. Find the marginal density of $X$ and $Y$.b. Find $P(X > 1 \mid Y = 1)$.

Given f(x,y) is, fx,y=k(y+x), x,y∈0,2 a) k:…

Answered: Consider the random variables with X…

Consider the random variables with X and Y with joint density function given by f«,y) = {*y {k(y +x) when x,y e [0,2] else %3D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Consider the random variables with $X$ and $Y$ with joint density function given by

\[
f(x, y) =
\begin{cases}
k(y + x) & \text{when } x, y \in [0, 2] \\
0 & \text{else}
\end{cases}
\]

a. Find the marginal density of $X$ and $Y$.

b. Find $P(X > 1 \mid Y = 1)$.

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