The arithmetic mean of the following data is given by \begin{tabular}{|l|l|l|l|l|l|} \hline Vari....

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The arithmetic mean of the following data is given
\( \mathrm{P} \)
by
\begin{tabular}{|l|l|l|l|l|l|}
\hline Variate \( (x) \) & 0 & 1 & 2 & 3 & \( \ldots n \) \\
\hline Frequency \( (f) \) & \( { }^{n} C_{0} \) & \( { }^{n} C_{1} \) & \( { }^{n} C_{2} \) & \( { }^{n} C_{3} \) & \( \ldots{ }^{n} C_{n} \) \\
\hline
\end{tabular}
W
(1) \( \frac{1}{2}(n+1) \)
(2) \( \frac{1}{2} n \)
(3) \( \frac{2^{n}}{n} \)
(4) \( \frac{2^{n-1}}{n} \)



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