The maximum and minimum of a random sample of numbers are called the "extrema" of the sample.
Fix positive integers $n$ and $N$. Suppose $n$ draws are made at random with replacement from the numbers \{1, 2, 3, ..., $N$\}. Let $X_i$ be the
number that appears on the $i$th draw.
Let $V_n = \min\{X_1, X_2, ..., X_n\}$ be the sample minimum and let $W_n = \max\{X_1, X_2, ..., X_n\}$ be the sample maximum.
We will use simulations to compute an approximation to the distribution of $W_n$.
(a) Maximum of draws
Write a function named \texttt{max\_sim} that takes $N$ and $n$ as its arguments, randomly draws $n$ times with replacement from \{1, 2, 3, ..., $N$\} and
returns the maximum of the draws.