[kx Determine k, so that fx,y(x, y) = a) Determine fx(0.6) b) Determine fy(0.6) c) Determine fx|y=.5(0.3) 0
[kx Determine k, so that fx,y(x, y) = a) Determine fx(0.6) b) Determine fy(0.6) c) Determine fx|y=.5(0.3) 0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Problem Statement:**
Determine \( k \), so that
\[
f_{X,Y}(x,y) =
\begin{cases}
kx & \text{if } 0 < x < y < 1 \\
0 & \text{otherwise}
\end{cases}
\]
is a joint probability density function (pdf).
**Tasks:**
a) Determine \( f_X(0.6) \)
b) Determine \( f_Y(0.6) \)
c) Determine \( f_{X|Y=.5}(0.3) \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd60bfbb-cf96-4101-a36e-0ab8578e2904%2Fa36623b2-5ea3-45da-b892-99c7b48874ea%2Ft9336mq_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Determine \( k \), so that
\[
f_{X,Y}(x,y) =
\begin{cases}
kx & \text{if } 0 < x < y < 1 \\
0 & \text{otherwise}
\end{cases}
\]
is a joint probability density function (pdf).
**Tasks:**
a) Determine \( f_X(0.6) \)
b) Determine \( f_Y(0.6) \)
c) Determine \( f_{X|Y=.5}(0.3) \)
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