how to create two bell shape curves
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with the areas under these curves equal to 1, the same mean but different standard deviations. Thanks!
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Accepted Answer
Wayne King
on 24 Apr 2013
Edited: Wayne King
on 24 Apr 2013
Do you have the Statistics Toolbox?
x = -10:0.01:10;
y = normpdf(x,0,1);
y1 = normpdf(x,0,sqrt(2));
If you do not have the Statistics Toolbox, you can just use the definition of the Gaussian
f = @(x) 1/sqrt(2*pi)*exp(-x.^2/2);
integral(f,-10,10)
g = @(x) 1/sqrt(2*pi*2)*exp(-x.^2/4);
integral(g,-10,10)
To see the curves for above:
fcurv = 1/sqrt(2*pi)*exp(-x.^2/2);
gcurv = 1/sqrt(2*pi*2)*exp(-x.^2/4);
plot(x,fcurv); hold on;
plot(x,gcurv,'r')
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More Answers (2)
Wayne King
on 24 Apr 2013
Hi Jenka, you cannot just do sum(y), you are forgetting about the very important dx in the integral
x = -10:0.01:10;
y = normpdf(x,0,1);
y1 = normpdf(x,0,sqrt(2));
dx = mean(diff(x));
sum(y*dx)
sum(y1*dx)
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