Consider the following joint probabilities table for X and Y, where x = 0, 10 and y = 90, 100, 110. X\Y 90 100 0 0.05 0.27 10 0.15 0.33 110 0.18 0.02 Calculate the covariance of X and Y. Cov(X,Y)=

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...
icon
Related questions
Question
Need help
Consider the following joint probabilities table for \(X\) and \(Y\), where \(x = 0, 10\) and \(y = 90, 100, 110\).

\[
\begin{array}{c|ccc}
XY & 90 & 100 & 110 \\
\hline
0 & 0.05 & 0.27 & 0.18 \\
10 & 0.15 & 0.33 & 0.02 \\
\end{array}
\]

Calculate the covariance of \(X\) and \(Y\).

\[
Cov(X, Y) = \underline{\hspace{2cm}}
\]
Transcribed Image Text:Consider the following joint probabilities table for \(X\) and \(Y\), where \(x = 0, 10\) and \(y = 90, 100, 110\). \[ \begin{array}{c|ccc} XY & 90 & 100 & 110 \\ \hline 0 & 0.05 & 0.27 & 0.18 \\ 10 & 0.15 & 0.33 & 0.02 \\ \end{array} \] Calculate the covariance of \(X\) and \(Y\). \[ Cov(X, Y) = \underline{\hspace{2cm}} \]
Expert Solution
Step 1: We have given that

The given table is:

Probability homework question answer, step 1, image 1

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON