\relax 
\@writefile{toc}{\contentsline {chapter}{\numberline {5}Distributions and Densities}{183}}
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\newlabel{chp 5}{{4.3}{183}}
\@writefile{toc}{\contentsline {section}{\numberline {5.1}Important Distributions}{183}}
\newlabel{sec 5.1}{{5.1}{183}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.1}{\ignorespaces Geometric distributions.}}{185}}
\newlabel{fig 5.4}{{5.1}{185}}
\newlabel{eq 5.3}{{5.1}{185}}
\newlabel{exam 5.1}{{5.1}{186}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.2}{\ignorespaces Negative binomial distribution with $k = 2$ and $p = .25$.}}{188}}
\newlabel{fig 7.2}{{5.2}{188}}
\newlabel{eq 5.1}{{5.2}{189}}
\newlabel{exam 5.3}{{5.3}{189}}
\@writefile{lot}{\contentsline {table}{\numberline {5.1}{\ignorespaces Poisson approximation to the binomial distribution.}}{190}}
\newlabel{table 5.1}{{5.1}{190}}
\newlabel{exam 5.5}{{5.4}{191}}
\newlabel{exam 5.5.5}{{5.5}{191}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.3}{\ignorespaces Flying bomb hits.}}{192}}
\newlabel{fig 5.1.5}{{5.3}{192}}
\newlabel{exam 5.6}{{5.6}{193}}
\@writefile{lot}{\contentsline {table}{\numberline {5.2}{\ignorespaces Observed data.}}{194}}
\newlabel{table 5.2}{{5.2}{194}}
\@writefile{lot}{\contentsline {table}{\numberline {5.3}{\ignorespaces General data table.}}{194}}
\newlabel{table 5.3}{{5.3}{194}}
\@writefile{lot}{\contentsline {table}{\numberline {5.4}{\ignorespaces Expected data.}}{195}}
\newlabel{table 5.4}{{5.4}{195}}
\newlabel{eq 5.65}{{5.3}{195}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.4}{\ignorespaces Leading digits in President Clinton's tax returns.}}{196}}
\newlabel{fig 5.1.6}{{5.4}{196}}
\newlabel{exer 5.1.100}{{1}{197}}
\newlabel{exer 5.1.101}{{2}{197}}
\newlabel{exer 5.1.102}{{3}{197}}
\newlabel{exer 5.1.103}{{4}{197}}
\newlabel{exer 5.1.104}{{5}{197}}
\newlabel{exer 5.1.105}{{6}{197}}
\newlabel{exer 5.1.16}{{7}{197}}
\newlabel{5.1.18}{{8}{198}}
\newlabel{exer 5.1.106}{{9}{198}}
\newlabel{exercise 5.1.107}{{10}{198}}
\newlabel{exer 5.1.26}{{11}{198}}
\newlabel{exer 5.1.27}{{12}{199}}
\newlabel{exer 5.1.108}{{13}{199}}
\newlabel{exer 5.1.109}{{14}{199}}
\newlabel{exer 5.1.110}{{15}{199}}
\newlabel{exer 5.1.111}{{16}{199}}
\newlabel{exer 5.1.112}{{17}{199}}
\newlabel{exer 5.1.113}{{18}{199}}
\newlabel{exer 5.1.114}{{19}{199}}
\newlabel{exer 5.1.115}{{20}{200}}
\newlabel{exer 5.1.116}{{21}{200}}
\newlabel{exer 5.1.29}{{22}{200}}
\newlabel{exer 5.1.117}{{23}{200}}
\newlabel{exer 5.1.118}{{24}{200}}
\newlabel{exer 5.1.119}{{25}{200}}
\@writefile{lot}{\contentsline {table}{\numberline {5.5}{\ignorespaces Mule kicks.}}{201}}
\newlabel{table 5.5}{{5.5}{201}}
\newlabel{exer 9.2.15}{{26}{201}}
\newlabel{exer 5.1.120}{{27}{201}}
\newlabel{exer 5.1.121}{{28}{201}}
\newlabel{exer 5.1.122}{{29}{201}}
\newlabel{exer 5.1.123}{{30}{201}}
\newlabel{exer 9.2.20}{{31}{201}}
\newlabel{exer 9.2.21}{{32}{202}}
\newlabel{exer 9.2.22}{{33}{202}}
\newlabel{exer 9.2.23}{{34}{202}}
\newlabel{exer 5.1.20}{{35}{202}}
\newlabel{exer 5.1.21}{{36}{202}}
\newlabel{exer 5.1.22}{{37}{202}}
\newlabel{exer 5.1.23}{{38}{203}}
\newlabel{exer 5.1.28}{{39}{203}}
\newlabel{exer 5.1.24}{{40}{203}}
\newlabel{exer 5.1.125}{{41}{203}}
\newlabel{exer 7.1.9}{{42}{203}}
\newlabel{exer 5.1.25}{{43}{203}}
\newlabel{exer 5.1.124}{{44}{203}}
\@writefile{lot}{\contentsline {table}{\numberline {5.6}{\ignorespaces Observed data.}}{204}}
\newlabel{table 5.6}{{5.6}{204}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.5}{\ignorespaces Distribution of choices in the Powerball lottery.}}{204}}
\newlabel{fig 5.2.1}{{5.5}{204}}
\newlabel{exer 5.1.126}{{45}{204}}
\newlabel{exer 5.1.127}{{46}{204}}
\@writefile{lot}{\contentsline {table}{\numberline {5.7}{\ignorespaces Numbers chosen by contestants in the Powerball lottery.}}{205}}
\newlabel{table 5.10}{{5.7}{205}}
\@writefile{toc}{\contentsline {section}{\numberline {5.2}Important Densities}{205}}
\newlabel{sec 5.2}{{5.2}{205}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.6}{\ignorespaces Exponential densities.}}{206}}
\newlabel{fig 2.20}{{5.6}{206}}
\newlabel{eq 5.8}{{5.4}{207}}
\newlabel{eq 5.9}{{5.5}{207}}
\newlabel{exam 5.21}{{5.7}{208}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.7}{\ignorespaces Queue sizes.}}{209}}
\newlabel{fig 5.17}{{5.7}{209}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.8}{\ignorespaces Waiting times.}}{209}}
\newlabel{fig 5.18}{{5.8}{209}}
\newlabel{thm 5.1}{{5.1}{210}}
\newlabel{cor 5.1}{{5.1}{210}}
\newlabel{cor 5.2}{{5.2}{211}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.9}{\ignorespaces Converting a uniform distribution $F_{U}$ into a prescribed distribution $F_{Y}$.}}{212}}
\newlabel{fig 5.13}{{5.9}{212}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.10}{\ignorespaces Normal density for two sets of parameter values.}}{213}}
\newlabel{fig 5.12}{{5.10}{213}}
\newlabel{exam 5.16}{{5.8}{214}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.11}{\ignorespaces Distribution of dart distances in 1000 drops.}}{215}}
\newlabel{fig 5.14}{{5.11}{215}}
\newlabel{exam 5.19}{{5.9}{215}}
\@writefile{lot}{\contentsline {table}{\numberline {5.8}{\ignorespaces Calculus class data.}}{216}}
\newlabel{table 5.7}{{5.8}{216}}
\@writefile{lot}{\contentsline {table}{\numberline {5.9}{\ignorespaces Expected data.}}{216}}
\newlabel{table 5.8}{{5.9}{216}}
\newlabel{exam 5.20}{{5.10}{216}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.12}{\ignorespaces Chi-squared density with three degrees of freedom.}}{218}}
\newlabel{fig 5.14.5}{{5.12}{218}}
\newlabel{exam 5.20.5}{{5.11}{218}}
\newlabel{exer 5.2.1}{{1}{219}}
\newlabel{exer 5.2.2}{{2}{219}}
\newlabel{exer 5.2.2.5}{{3}{219}}
\newlabel{exer 5.2.3}{{4}{219}}
\newlabel{exer 5.2.4}{{5}{219}}
\newlabel{exer 5.2.5}{{6}{220}}
\newlabel{exer 5.2.6}{{7}{220}}
\newlabel{5.2.7}{{8}{220}}
\newlabel{exer 5.2.8}{{9}{220}}
\newlabel{exer 5.2.9}{{10}{220}}
\newlabel{exer 5.2.10}{{11}{220}}
\newlabel{exer 5.2.11}{{12}{220}}
\newlabel{exer 5.2.12}{{13}{220}}
\newlabel{exer 5.2.13}{{14}{220}}
\newlabel{exer 5.2.14}{{15}{220}}
\newlabel{5.2.15}{{16}{221}}
\newlabel{5.2.16}{{17}{221}}
\newlabel{exer 5.2.17}{{18}{221}}
\newlabel{exer 5.2.18}{{19}{221}}
\newlabel{exer 5.2.19}{{20}{221}}
\newlabel{exer 5.2.20}{{21}{221}}
\newlabel{exer 5.2.21}{{22}{221}}
\newlabel{exer 5.2.22}{{23}{221}}
\@writefile{lot}{\contentsline {table}{\numberline {5.10}{\ignorespaces Grading on the curve.}}{222}}
\newlabel{table 5.9}{{5.10}{222}}
\newlabel{exer 5.2.23}{{24}{222}}
\newlabel{exer 5.2.24}{{25}{222}}
\newlabel{5.2.25}{{26}{222}}
\newlabel{exer 5.2.26}{{27}{222}}
\newlabel{exer 5.2.27}{{28}{222}}
\newlabel{5.2.28}{{29}{222}}
\newlabel{5.2.29}{{30}{223}}
\newlabel{5.2.30}{{31}{223}}
\newlabel{exer 5.2.31}{{32}{223}}
\newlabel{exer 5.2.32}{{33}{223}}
\newlabel{exer 5.2.33}{{34}{223}}
\newlabel{exer 5.2.34}{{35}{224}}
\newlabel{exer 5.2.36}{{36}{224}}
\newlabel{exer 5.2.37}{{37}{224}}
\newlabel{exer 5.2.38}{{38}{224}}
\@setckpt{ch5}{
\setcounter{page}{225}
\setcounter{equation}{5}
\setcounter{enumi}{38}
\setcounter{enumii}{4}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{11}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{chapter}{5}
\setcounter{section}{2}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{12}
\setcounter{table}{10}
\setcounter{examp}{11}
\setcounter{defn}{0}
\setcounter{thm}{1}
\setcounter{cor}{2}
\setcounter{prop}{0}
\setcounter{lem}{0}
}