\documentclass{article}

\title{Homework 2}
\author{Pim Remkes, 1239096}

\begin{document}
	\maketitle

	\begin{enumerate}
		\item % DONE
			\begin{enumerate}
				\item $\sum_{i=0}^\infty f(i) = 1 \iff \sum_{i=5}^\infty f(i) = 1 - (f(0) + f(1) + f(2) + f(3) + f(4))$
					$P(X > 4) = 1 - (f(0) + f(1) + f(2) + f(3) + f(4)) = \frac{1024}{3125}$
				\item $P(X < 4) = f(0) + f(1) + f(2) + f(3) = \frac{369}{625}$
				\item $P(X \geq 6) = 1 - (f(0) + f(1) + f(2) + f(3) + f(4) + f(5)) = \frac{4096}{15625}$
			\end{enumerate}
	\end{enumerate}
\end{document}