Fix minor typos

latex/Makefile

@@ -0,0 +1,2 @@
+stats-workshop.pdf: bayes.tex counting.tex probability.tex common-distributions.tex independence.tex random-variables.tex conditional-probability.tex introduction.tex stats-workshop.tex
+	pdflatex stats-workshop.tex

latex/bayes.tex

@@ -32,7 +32,7 @@ \section{Bayes' Formula}
 
 Let's study a classic thought experiment: the disease screening problem.
 
-Suppose we have developed a test for a certain disease:
+Suppose we have developed a test for a certain disease.
 \begin{itemize}
 \item Only 1 \% of people have the disease.
 \item If a person has the disease, the test will be positive 99.9 \% of the
@@ -63,7 +63,7 @@ \section{Bayes' Formula}
 
 %
 \begin{frame}
-Bayes formula says:
+Bayes' formula says:
 
 \begin{align*}
 P(\text{Have Disease}  & \mid \text{Test is Positive)} \\
@@ -161,7 +161,7 @@ \section{Bayes' Formula}
 
 $$ P(\text{Have Disease}) = 0.01 $$
 
-\textbf{I takes a lot of evidence to take an unlikely situation and make it
+\textbf{It requires a lot of evidence to take an unlikely situation and make it
 likely.}
 
 \end{frame}

latex/common-distributions.tex

@@ -66,9 +66,9 @@ \section{Common Distributions}
 
 \begin{itemize}
 \item Flipping a fair coin.
-\item Rolling a six on a six sided die.
-\item Rolling a twenty on a twenty sided die.
-\item Rolling greater than a ten on a twenty sided die.
+\item Rolling a six on a six-sided die.
+\item Rolling a twenty on a twenty-sided die.
+\item Rolling greater than a ten on a twenty-sided die.
 \end{itemize}
 
 Are any of these equally distributed?
@@ -176,13 +176,13 @@ \section{Common Distributions}
 %
 \begin{frame}
 
-A \text{critical hit} is a roll of 20 on a 20 sided die.  In a session of
+A \text{critical hit} is a roll of 20 on a 20-sided die.  In a session of
 Dungeons and Dragons, you roll the die 20 times.  What is the probability that
 you roll \textbf{at least two} critical hits.
 
 \hfill
 
-A \text{saving throw} is a roll of at least 15 on a 20 sided die.  In a session
+A \text{saving throw} is a roll of at least 15 on a 20-sided die.  In a session
 of Dungeons and Dragons you roll the die to attempt a saving throw 10 times.
 What is the probability you \text{fail} all of your saving throws?
 
@@ -226,7 +226,7 @@ \section{Common Distributions}
 
 %
 \begin{frame}
-The rate the cat meows is:
+The rate the cat meows is
 
 $$ \lambda = \frac{5 \text{ meows}}{10 \text{ minuets}} = 5 \frac{ \text{
 meows}}{\text{ 10 minuets}} $$

latex/conditional-probability.tex

@@ -3,8 +3,8 @@ \section{Conditional Probability}
 %
 \begin{frame}
 
-Suppose we know that one event $C$ has already happened or will happen (the
-condition), and we want to know the probability of different event $B$.
+Suppose we know that one event $B$ has already happened or will happen (the
+condition), and we want to know the probability of different event $A$.
 
 \hfill
 
@@ -103,7 +103,7 @@ \section{Conditional Probability}
 \begin{frame}
 
 What is the conditional probability that you draw a full house, given that you know you
-have at least a three of a kind
+have at least a three of a kind?
 
 \begin{align*}
 P(\text{Drawing a} & \text{ full house} \mid \text{Drawing a three of a kind}) = \\
@@ -125,7 +125,7 @@ \section{Conditional Probability}
 %
 \begin{frame}
 What is the conditional probability that you draw a full house, given that you
-have drawn a four of a kind.
+have drawn a four of a kind?
 
 What is the conditional probability that you draw a four of a kind, given that
 you know you already have a pair?

latex/counting.tex

@@ -12,11 +12,11 @@ \section{Counting (Combinatorics)}
 
 \begin{itemize}
 \item How many ways are there to arrange four letters of the alphabet?
-\item How many ways are there to arrange four \textit{different} letters of the alphabet.
-\item How many ways are there to arrange 25 math books on a bookshelf.
-\item How many five card hands are full houses.
-\item How many five card hands have three of a kind.
-\item How many five card hands have three of a kind and are not also full
+\item How many ways are there to arrange four \textit{different} letters of the alphabet?
+\item How many ways are there to arrange 25 books on a bookshelf?
+\item How many five-card hands are full houses?
+\item How many five-card hands have three of a kind?
+\item How many five-card hands have three of a kind and are not also full?
 houses.
 \end{itemize}
 
@@ -120,7 +120,7 @@ \section{Counting (Combinatorics)}
 
 \hfill
 
-How many 5 card hands are possible when drawing from a standard 52 card deck?
+How many five-card hands are possible when drawing from a standard 52 card deck?
 
 \hfill
 

latex/independence.tex

@@ -19,8 +19,7 @@ \section{Independence}
 
 $$ P(A \mid B) = \frac{P(A \text{ and } B)}{P(B)} $$
 
-Combining this with our definition of independence (so, below, $A$ and $B$ are
-independent
+If $A$ and $B$ are independent, we can combine this with our definition of independence to get
 
 $$ P(A) = P(A \mid B) = \frac{P(A \text{ and } B)}{P(B)} $$
 

latex/introduction.tex

@@ -29,7 +29,7 @@ \section{Introduction}
 
 \hfill
 
-If I have a coin which is \textbf{known} to land head exactly half of the time, it is a problem in \textbf{probability} to determine how often the coin will never land on heads over ten consecutive flips.
+If I have a coin which is \textbf{known} to land heads exactly half of the time, it is a problem in \textbf{probability} to determine how often the coin will never land on heads over ten consecutive flips.
 
 }%
 

latex/probability.tex

@@ -7,7 +7,7 @@ \section{Probability Basics}
 
 \hfill
 
-An \textbf{event} is a collection of things that can happen, usually given be a
+An \textbf{event} is a collection of things that can happen, usually given by a
 short description.
 
 \end{frame}
@@ -25,15 +25,15 @@ \section{Probability Basics}
 
 \hfill
 
-The collection of all full-houses, three of a kinds, etc are \textbf{events}.
+The collection of all full houses, three of a kinds, etc. are \textbf{events}.
 
 \end{frame}
 
 
 %
 \begin{frame}
 
-The \textbf{probability} of an event is:
+The \textbf{probability} of an event is
 
 $$ P(\text{event}) = \frac{\text{\# of ways event can happen}}{\text{total \# of
 things that can happen}} $$

latex/random-variables.tex

@@ -23,12 +23,12 @@ \section{Random Variables}
 \begin{itemize}
 \item The number of heads seen in ten flips of a quarter.
 \item The number of heads seen in ten flips of a dime.
-\item The number of Buses that arrive late to a stop in Seattle in a single
+\item The number of buses that arrive late to a stop in Seattle in a single
 day.
 \item The number of times my cat asks for food between 5 and 6 pm (when she is
 always fed) in a given day.
-\item The temperature on a mid-summers day in Seattle.
-\item The rainfall in a mid-winters day in Seattle.
+\item The temperature on a mid-summer's day in Seattle.
+\item The rainfall in a mid-winter's day in Seattle.
 \end{itemize}
 
 \end{frame}