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

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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).
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