(*^
::[ Information =
"This is a Mathematica Notebook file. It contains ASCII text, and can be
transferred by email, ftp, or other text-file transfer utility. It should
be read or edited using a copy of Mathematica or MathReader. If you
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everything from the line containing (*^ down to the line containing ^*)
into a plain text file. On some systems you may have to give the file a
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MacintoshStandardFontEncoding;
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g1[x_] = x/2; g2[x_]:= 3 - x;
L = Integrate[g1[x],{x,0,2}] + Integrate[g2[x],{x,2,3}];
f1[x_] = g1[x]/L; f2[x_]:= g2[x]/L;
mu = Integrate[x f1[x],{x,0,2}] + Integrate[x f2[x],{x,2,3}];
sigmasq = Integrate[x^2 f1[x],{x,0,2}] + Integrate[x^2 f2[x],{x,2,3}] - mu^2;
kappa = Sqrt[sigmasq]/mu;
F1[t_] = Integrate[f1[x],{x,0,t}];
F2[t_] = F1[2] + Integrate[f2[x],{x,2,t}];
M = t/.Solve[F1[t]==1/2,t][[2]];
L
mu
sigmasq
kappa
F1[t]
F2[t]
M
^*)