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    %% Beta Distribution Parameters

% Copyright 2015 The MathWorks, Inc.


%% Fit Beta Distribution
rng default  % For reproducibility
r = betarnd(5,0.2,100,1);
[phat, pci] = betafit(r)

%% Plot Beta Distribution Parameters
X = 0:.01:1;
y1 = betapdf(X,0.75,0.75);
y2 = betapdf(X,1,1);
y3 = betapdf(X,4,4);

figure
plot(X,y1,'Color','r','LineWidth',2)
hold on
plot(X,y2,'LineStyle','-.','Color','b','LineWidth',2)
plot(X,y3,'LineStyle',':','Color','g','LineWidth',2)
legend({'a = b = 0.75','a = b = 1','a = b = 4'},'Location','NorthEast');
hold off