Assume a population of 2,4 , and 12 . Assume that samples of size \( \mathrm{n}=2 \) are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below.
2,2
2.4
2,12
4,2
4.4
4,12
12.2
12,4
12,12
a. Find the value of the population standard deviation \( \sigma \).
\[
a=4.320
\]
(Round to three decimal places as needed.) sample standard deviations.
\begin{tabular}{c|c}
\( \frac{\mathrm{s}}{\mathrm{T}} \) & Probability \\
\hline\( \frac{\mathrm{T}}{\square} \) & \( \square \) \\
\hline\( \frac{\mathrm{T}}{\square} \) & \( \square \) \\
\hline
\end{tabular}
(Type integers or fractions.)