| $z$ | $\mathrm{P}(0 \leq Z \leq z)$ |
| 1.0 | 0.3413 |
| 1.5 | 0.4332 |
| 2.0 | 0.4772 |
| 2.5 | 0.4938 |
The test scores of all students at a certain school follow a normal distribution with mean 500 and standard deviation 25. When one student is randomly selected from this school, what is the probability that the student's test score is at least 475 and at most 550, using the standard normal distribution table below? [3 points]
\begin{center}
\begin{tabular}{ | c | c | }
\hline
$z$ & $\mathrm{P}(0 \leq Z \leq z)$ \\
\hline
1.0 & 0.3413 \\
\hline
1.5 & 0.4332 \\
\hline
2.0 & 0.4772 \\
\hline
2.5 & 0.4938 \\
\hline
\end{tabular}
\end{center}
(1) 0.7745\\
(2) 0.8185\\
(3) 0.9104\\
(4) 0.9270\\
(5) 0.9710