A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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 \(Y\).

\[
Cov(X, Y) = \underline{\hspace{2cm}}
\]
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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 \(Y\). \[ Cov(X, Y) = \underline{\hspace{2cm}} \]
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Step 1: We have given that

The given table is:

Probability homework question answer, step 1, image 1

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