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\begin{document}
\title{Stat 150 Homework \#8}
\author{Fall 2021}
\maketitle

\textbf{Due Monday, November 8th, at 11:59 PM on Gradescope.}\\

Note that there are \emph{Exercises} and \emph{Problems} in the textbook. Make sure you read the homework carefully to find the assigned question.

\bigskip{}

\begin{enumerate}[label=\arabic*.]\setlength{\itemsep}{10pt}

\item Pinsky and Karlin, Problem 6.3.3

\item Pinsky and Karlin, Problem 6.3.4

\item Pinsky and Karlin, Problem 6.4.4

\item Pinsky and Karlin, Problem 6.4.6

\item Pinsky and Karlin, Problem 6.5.2
  
\item Pinsky and Karlin, EXERCISE 6.6.1 (Also do the additional problem below)
  \begin{enumerate}
      \setcounter{enumii}{2}
  \item On average, how long are the gaps between when the system has two functional components? (Hint: use part (b) and the limit theorem stated in class relating the mean return time to the limiting distribution).
  \end{enumerate}
  
\item Pinsky and Karlin, Problem 6.6.2
  
\end{enumerate}

\end{document}