\documentclass[12pt]{amsart}
\usepackage{amssymb}
\usepackage{enumitem}
\usepackage[paperheight=11in,paperwidth=8.5in,left=1in,top=1in,right=1in,bottom=1in]{geometry}
\usepackage{hyperref}
\usepackage{mathtools}

\newcommand{\prob}{\mathbb{P}}
\newcommand{\E}{\mathbb{E}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\pr}{\mathbb{P}}
\renewcommand{\thefootnote}{\fnsymbol{footnote}}
\newcommand{\op}[1]{\operatorname{#1}}
\newcommand{\mcal}[1]{\mathcal{#1}}

\begin{document}
\title{Stat 150 Homework \#7}
\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 6.1.2

\item Pinsky and Karlin, Problem 6.1.5 (Hint: use the fundamental theorem of calculus to find the joint density of $W_1$ and $W_2$. Then use the change of variables formula to find the joint density of $S_0$ and $S_1$. If you have forgotten the change of variables formula, here is a short reference containing everything you need: \url{https://online.stat.psu.edu/stat414/lesson/23/23.1}.)

\item Pinsky and Karlin, Problem 6.1.8

\item Pinsky and Karlin, Problem 6.1.13

\item Pinsky and Karlin, Problem 6.2.1

\item Pinsky and Karlin, Problem 6.2.2 (Note: your answer should almost seem like a reflected version of a process that you are quite familiar with but with a boundary condition. Think about why this is the case.)
  
\item Pinsky and Karlin, Problem 6.2.4
  
\end{enumerate}

\end{document}