The number of trees per hectare in this forest can be modelled by a random variable $X$ following a normal distribution with mean $\mu = 4000$ and standard deviation $\sigma = 300$.

\begin{enumerate}
  \item Determine the probability that there are between 3400 and 4600 trees on a given hectare of this forest. The result will be given rounded to $10^{-3}$.
  \item Calculate the probability that there are more than 4500 trees on a given hectare of this forest. The result will be given rounded to $10^{-3}$.
\end{enumerate}