# Plotting a 2 dimensional graph

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Spencer S on 18 Feb 2020
Commented: Aquatris on 20 Feb 2020
Function: S(p,N) = 1 - (1-p)^N
Plot a two-dimensional surface showing that probability: S(p,N), 0p1,2N10,000.

Spencer S on 18 Feb 2020
p is some number greater than or equal to zero and less than or equal to 1
Spencer S on 19 Feb 2020
so P takes on all numbers between 0 and 1. Do you mind providing me with the code?
Geoff Hayes on 19 Feb 2020
Right but you still need to define what those values are for p. Is it sufficient to do something like
p = 0:0.01:1;
where the array p is all values 0, 0.01, 0.02, 0.03,..., 1.0? Or do you need more or fewer? Once you have determined that and done something similar for N (this is probably easier and you could use your code above), then you can use meshgrid as
[P,N] = meshgrid(0:0.01:1, 2:1:10000);
and then put those results in your above function. Then try using contour that Aquatris described below.

Aquatris on 18 Feb 2020
What you are looking for is the "countour" function (or countourf) of Matlab. Check this link and you can adapty your equation to the given example.

Spencer S on 19 Feb 2020
I can't get it to work. I think the problem is N is between 2 an 10,000. Do you mind providing me with your code?
Aquatris on 20 Feb 2020
Dont exactly know your values but something like this;
p = linspace(0,1,1e3);
N = linspace(2,1000,1e3);
[X,Y] = meshgrid(p,N);
Z = 1-(1-X).^Y; % notice the .^ since we do not want matrix algebra
contourf(X,Y,Z)