Demonstrate the BinomialTheorem for the gun problem.

The example is taken from:

Nahin, P. J., "Duelling Idiots and Other Probability Puzzlers,"
Princeton University Press.

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See also Plot2D, BinomialTheorem
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%   Copyright (c) 2003 Princeton Satellite Systems, Inc.
%   All rights reserved.
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p = linspace(0,1);
pC = zeros(1,length(p));

for j = 1:length(p)
  pC(j) = BinomialTheorem( 100, 50, p(j) );
end

Plot2D( p, pC, 'Hypothesis', 'Probability', 'Gun Problem')


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