Find the value of \( p \) for the following distribution whose mean is 16.6. \begin{tabular}{lcc...

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Find the value of \( p \) for the following distribution whose mean is 16.6.
\begin{tabular}{lccccccc}
\( x: \) & 8 & 12 & 15 & \( p \) & 20 & 25 & 30 \\
\( f: \) & 12 & 16 & 20 & 24 & 16 & 8 & 4 \\
\hline
\end{tabular}
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