How to plot the probability density function using vectorisation.

This is the function we have been given.

f(x) = 1/sqrt(2*pi*σ^2) * exp(-(x-μ)^2)/(2*σ^2)

We have been told to solve for this where:

μ = 0
σ = [1 2 3 4 5]
x = linspace(-10,10,200)

It needs to be plotted evaluating the function for all the elements of σ and plotted on the same graph. I have tried numerous times and cant seem to get a plot. I no how to plot i just cant seem to plot this function.

NOTE: We cant use the built in probability density function or a for loop just using vectorization.

Answer 1

[Mischa Kim]

Guiseppe, something like

 mu = 0;
 si = [1 2 3 4 5];
 x  = linspace(-10,10,200);
 [X,SI] = meshgrid(x,si);
 f  = 1./sqrt(2*pi*power(SI,2)) .* exp(-power((X-mu),2))./(2*power(SI,2));
 surf(X,SI,f)
 xlabel('x')
 ylabel('{\sigma}')
 box;

[Giuseppe]

This is great thank you.