Let X and Y be discrete random variables with the following joint probability function. f(x,y) = P(X=x,Y=y) 4 7 0.10 4 9 0.30 12 7 0.20 12 9 0.40 Determine the Covariance of XY is

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Let \( X \) and \( Y \) be discrete random variables with the following joint probability function.

\[
\begin{array}{|c|c|c|}
\hline
X & Y & f(x, y) = P(X = x, Y = y) \\
\hline
4 & 7 & 0.10 \\
4 & 9 & 0.30 \\
12 & 7 & 0.20 \\
12 & 9 & 0.40 \\
\hline
\end{array}
\]

Determine the Covariance of \( XY \).

\[ \text{Cov}(X, Y) = E10 - E9 \times E8 \]

Recall, enter your answer to two decimal places (should be the exact answer).
Transcribed Image Text:Let \( X \) and \( Y \) be discrete random variables with the following joint probability function. \[ \begin{array}{|c|c|c|} \hline X & Y & f(x, y) = P(X = x, Y = y) \\ \hline 4 & 7 & 0.10 \\ 4 & 9 & 0.30 \\ 12 & 7 & 0.20 \\ 12 & 9 & 0.40 \\ \hline \end{array} \] Determine the Covariance of \( XY \). \[ \text{Cov}(X, Y) = E10 - E9 \times E8 \] Recall, enter your answer to two decimal places (should be the exact answer).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 11 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman