diff options
Diffstat (limited to 'info/mathtrip/src/prob2.tex')
-rw-r--r-- | info/mathtrip/src/prob2.tex | 36 |
1 files changed, 36 insertions, 0 deletions
diff --git a/info/mathtrip/src/prob2.tex b/info/mathtrip/src/prob2.tex new file mode 100644 index 0000000000..3ec1964c96 --- /dev/null +++ b/info/mathtrip/src/prob2.tex @@ -0,0 +1,36 @@ +%This command provides the text to be written +%in the second part of the column 4 on the page 3 +% +%The command has one parameter +% 1) The width of the text +\newcommand\TThreeProbTwo[1]{% + \parbox[t]{#1}{% + \DisplaySpace{\TThreeDisplaySpace}{\TThreeDisplayShortSpace} + %Formula 7 + \TThreeTitle{Binomial distribution:} + \ifluatex + \AdjustSpace{0ex plus .5ex minus .5ex} + \else + \AdjustSpace{1ex plus .5ex minus .5ex} + \fi + \begin{DisplayFormulae}{1}{0pt}{3ex plus 1ex minus 1ex}{\BigChar}{\StyleWithoutNumber} + \def\FirstPart{\Pr[X = k] = \mbox{}} + \FmPartA{\FirstPart \binom{n}{k} p^k q^{n-k}} + \FmPartB{\FirstPart}{\MathRemark[\relax]{q = 1-p}}, + \Fm{\E[X] = \sum^n_{k=1} k {n \choose k} p^k q^{n-k} = n p} + \end{DisplayFormulae} + + %Formula 8 + \TThreeTitle{Poisson distribution:}% + \AdjustSpace{.75ex plus .5ex minus .5ex} + \raggedright + \begin{DisplayFormulae}{1}{0pt}{3ex plus 1ex minus 1ex}{\SmallChar}{\StyleWithoutNumber} + \Fm{\Pr[X = k] = \frac{e^{-\lambda} \lambda^k}{k!}}, + \Fm{\E[X] = \lambda} + \end{DisplayFormulae} + + %To push a little bit the text to the top and + %separate it from the bottom of the NiceTabular environment. + %\vspace{\TThreeMoveProbB} + }% +} |