x + y The joint pdf of X and Y is fxy(x, y) = 3 0 a) Determine E[Y|x=1] b) Determine E[Y|x=0] 0

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**The joint PDF of X and Y**

The joint probability density function (pdf) of X and Y is given as:

\[
f_{X,Y}(x,y) = 
\begin{cases} 
\frac{x+y}{3}, & 0 < x < 2, \, 0 < y < 1 \\ 
0, & \text{otherwise}
\end{cases}
\]

**Questions**

a) Determine \(E[Y \, | \, x=1]\)

b) Determine \(E[Y \, | \, x=0]\)
Transcribed Image Text:**The joint PDF of X and Y** The joint probability density function (pdf) of X and Y is given as: \[ f_{X,Y}(x,y) = \begin{cases} \frac{x+y}{3}, & 0 < x < 2, \, 0 < y < 1 \\ 0, & \text{otherwise} \end{cases} \] **Questions** a) Determine \(E[Y \, | \, x=1]\) b) Determine \(E[Y \, | \, x=0]\)
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