\contentsline {chapter}{\numberline {1}Probability Density and Cumulative Distribution Functions}{2}{chapter.1}%
\contentsline {paragraph}{a)}{3}{section*.2}%
\contentsline {paragraph}{b)}{3}{section*.3}%
\contentsline {paragraph}{c)}{3}{section*.4}%
\contentsline {section}{\numberline {1.1}Continuous Probability Distributions}{3}{section.1.1}%
\contentsline {paragraph}{a)}{4}{section*.5}%
\contentsline {paragraph}{b)}{5}{section*.6}%
\contentsline {chapter}{\numberline {2}Expected Value}{7}{chapter.2}%
\contentsline {subsubsection}{Example}{8}{section*.7}%
\contentsline {subsubsection}{Properties of Expectations}{8}{section*.8}%
\contentsline {subsubsection}{Example}{8}{section*.9}%
\contentsline {subsubsection}{Variance of a Random Variable}{8}{section*.10}%
\contentsline {subsubsection}{Definition}{8}{section*.11}%
\contentsline {subsubsection}{Example}{9}{section*.12}%
\contentsline {subsubsection}{Example}{9}{section*.13}%
\contentsline {subsubsection}{Theorem}{9}{section*.14}%
\contentsline {subsubsection}{Example}{9}{section*.15}%
\contentsline {subsection}{\numberline {2.0.1}The Exponential Distribution}{10}{subsection.2.0.1}%
\contentsline {paragraph}{Application}{10}{section*.16}%
\contentsline {subsubsection}{Example}{10}{section*.17}%
\contentsline {subsection}{\numberline {2.0.2}The Normal Distribution}{11}{subsection.2.0.2}%
\contentsline {subsubsection}{Definition}{11}{section*.18}%
\contentsline {subsubsection}{Example}{11}{section*.19}%
\contentsline {subsubsection}{Example}{12}{section*.20}%
\contentsline {chapter}{\numberline {3}Hypothesis Testing}{13}{chapter.3}%
\contentsline {subsection}{\numberline {3.0.1}Confidence Interval for the Difference of Two Means}{13}{subsection.3.0.1}%
\contentsline {subsection}{\numberline {3.0.2}Paired t-test}{14}{subsection.3.0.2}%
\contentsline {section}{\numberline {3.1}Analysis of Variance}{16}{section.3.1}%
\contentsline {subsection}{\numberline {3.1.1}Tests of Hypotheses}{17}{subsection.3.1.1}%
\contentsline {section}{\numberline {3.2}Non-Parametric Testing}{18}{section.3.2}%
\contentsline {subsection}{\numberline {3.2.1}The Signed Rank Test}{18}{subsection.3.2.1}%
\contentsfinish