Questions: Two tire-quality experts examine stacks of tires and assign a quality rating to each tire on a 3-point scale. Let X denote the rating given by expert A and Y denote the rating given by expert B. The following table gives the joint distribution for X and Y. Find μX and μY Joint Distribution f(x, y) y 1 2 3 x 1 0.12 0.06 0.01 2 0.11 0.32 0.06 3 0.02 0.11 0.19
Transcript text: Two tire-quality experts examine stacks of tires and assign a quality rating to each tire on a 3-point scale. Let $X$ denote the rating given by expert $A$ and $Y$ denote the rating given by expert $B$. The following table gives the joint distribution for $X$ and $Y$. Find $\mu_{X}$ and $\mu_{Y}$
Joint Distribution
\begin{tabular}{|c|c|c|c|c|c|}
\hline \multirow{2}{*}{\multicolumn{2}{|c|}{$f(x, y)$}} & & $y$ & & \\
\hline & & 1 & 2 & 3 & \\
\hline \multirow{3}{*}{ x } & 1 & 0.12 & 0.06 & 0.01 & \\
\hline & 2 & 0.11 & 0.32 & 0.06 & \\
\hline & 3 & 0.02 & 0.11 & 0.19 & \\
\hline
\end{tabular}
Solution
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