The Distribution of the Sample Proportion
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The probability distribution of the random variable \(S\) is given in the following table, where \(c\) is a constant. The value of \(c\) is?
\[\begin{array}{|c|c|c|c|c|}
\hline \mathbf{s} & 1 & 2 & 3 & 4 \\
\hline \mathrm{P}(\mathrm{S}=\mathrm{s}) & c & c^2 & c & \dfrac{14}{25} \\
\hline
\end{array}\]
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