Consider the random variables with $X$ and $Y$ with joint density function given by\[f(x, y) = \begin{cases} ky & \text{when } 0 \leq y \leq 2x \leq 4 \\0 & \text{else}\end{cases}\]a. Find $E[X+Y]$b. Find $\text{COV}(X, Y)$

a) Given f(x,y)=ky, 0≤y≤2x≤4 ∫04∫02f(x,y)dxdy=1∫04∫02kydxdy=1k∫04y(2-0)dy=12k*y2204=116k=1k=116…

Answered: Consider the random variables with X…

Consider the random variables with X and Y with joint density function given by ky when 0 < y < 2x < 4 f(x, y) = else a. Find E[X+Y]

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

\[
f(x, y) =
\begin{cases}
ky & \text{when } 0 \leq y \leq 2x \leq 4 \\
0 & \text{else}
\end{cases}
\]

a. Find $E[X+Y]$

b. Find $\text{COV}(X, Y)$

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