<?xml version="1.0" encoding="UTF-8"?>
<Worksheet><Version major="6" minor="0"/><View-Properties><Zoom percentage="100"/></View-Properties><Styles><Layout alignment="left" bullet="none" name="Warning"/><Layout alignment="left" bullet="none" firstindent="0.0" leftmargin="0.0" linebreak="space" name="Normal" rightmargin="0.0" spaceabove="0.0" spacebelow="0.0"/><Layout alignment="centred" bullet="none" name="Maple Plot"/><Layout alignment="centred" bullet="none" linespacing="0.5" name="Maple Output"/><Font background="[0,0,0]" family="Monospaced" foreground="[0,0,255]" name="Warning" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" family="Times New Roman" foreground="[0,0,255]" name="2D Output" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" name="Maple Input" opaque="false" size="12"/></Styles><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">with(stats):
with(plots):
with(statplots):
with(describe):</Text-field></Input><Output><Text-field layout="Warning" style="Warning">Warning, these names have been redefined: anova, describe, fit, importdata, random, statevalf, statplots, transform
</Text-field></Output><Output><Text-field layout="Warning" style="Warning">Warning, these names have been redefined: boxplot, histogram, scatterplot, xscale, xshift, xyexchange, xzexchange, yscale, yshift, yzexchange, zscale, zshift
</Text-field></Output><Output><Text-field layout="Warning" style="Warning">Warning, these names have been redefined: coefficientofvariation, count, countmissing, covariance, decile, geometricmean, harmonicmean, kurtosis, linearcorrelation, mean, meandeviation, median, mode, moment, percentile, quadraticmean, quantile, quartile, range, skewness, standarddeviation, sumdata, variance
</Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">
</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">#niggli:

count:=proc(ll, x)
	local i,r;
	r:=0:
	for i from 0 to nops(ll) do
		if (op(i,ll) = x) then r:=r+1: end if:
	end do:
	return r:
end proc:

Total:=proc(ll)
	local i,r,x;
	r:=0:
	for i from 1 to nops(ll) do
		#x:=op(
		r:=r+op(i,ll):
	end do:
	return r:
end proc:


roll:=rand(1..6):
kmax:=10:
</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">w:=[seq( [seq(roll(),i=1..12) ], k=1..kmax)];</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ3RzYiNyw3LiIiJiIiJEYoIiInRihGKCIiIkYrIiIjRisiIiVGLTcuRixGKEYpRi1GK0YrRilGKkYqRitGLEYqNy5GKkYtRipGLEYoRixGKUYtRihGKEYoRik3LkYqRilGKkYqRihGK0YqRihGK0YqRilGKjcuRi1GK0YrRilGLUYpRipGLUYpRitGLUYoNy5GKUYpRilGLEYoRilGKkYsRipGLUYrRig3LkYtRixGK0YsRi1GK0YoRihGK0YpRihGKzcuRipGKUYoRixGLUYtRilGLEYsRixGLEYoNy5GKEYrRilGKUYtRixGKkYoRitGKkYpRik3LkYpRitGLUYqRipGKUYrRitGKkYsRitGLA==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">dAugenzahl:=[ seq( Total( op(i,w) ), i=1..kmax ) ];
d6er:=[ seq( count(op(i,w),6), i=1..kmax ) ];
sAugenzahl:=evalf( [mean(dAugenzahl), standarddeviation(dAugenzahl)] );
s6er:=evalf( [mean(d6er), standarddeviation(d6er)] );

pa:=listplot(dAugenzahl):
ps:=listplot(d6er):
pm:=plot(mean(dAugenzahl),x=1..10):
display([pa,ps,pm]);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SStkQXVnZW56YWhsRzYiNywiI1UiI1MiI10iI2EiI1IiI1YiI01GKEYnIiNP</Equation></Text-field><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVkNmVyRzYiNywiIiIiIiQiIiMiIidGJ0YpIiIhRidGKUYo</Equation></Text-field><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SStzQXVnZW56YWhsRzYiNyQkIiNVIiIhJCIrcTRrNGQhIio=</Equation></Text-field><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVzNmVyRzYiNyQkIisrKysrQCEiKiQiKyVRdHpkIkYp</Equation></Text-field></Output><Output><Text-field layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400">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</Plot></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Text-field/><Text-field/><Text-field/></Worksheet>