| $z$ | $\mathrm { P } ( 0 \leqq Z \leqq z )$ |
| 1 | 0.3413 |
| 2 | 0.4772 |
| 3 | 0.4987 |
The weight of products manufactured at a certain factory follows a normal distribution $\mathrm { N } \left( 11,2 ^ { 2 } \right)$. Two people A and B each independently randomly extracted a sample of size 4. Using the standard normal distribution table on the right, what is the probability that the sample means of both A and B are between 10 and 14 inclusive? [3 points]
\begin{center}
\begin{tabular}{ | c | c | }
\hline
$z$ & $\mathrm { P } ( 0 \leqq Z \leqq z )$ \\
\hline
1 & 0.3413 \\
2 & 0.4772 \\
3 & 0.4987 \\
\hline
\end{tabular}
\end{center}
(1) 0.8123\\
(2) 0.7056\\
(3) 0.6587\\
(4) 0.5228\\
(5) 0.2944