N samples GAUSS SIMULATIONN

HI, can anyyone help me in a work i need to do,

simulation of z veriable gaussion distirbution using 2 veriables (x y) uniformly distirbution where z=sqrt(-ln(X)) cos(2*pi*Y) ,again for N RANDOM NUMBERS

and to compare it to the normal distirbutiun of z? THE Answer depends on N ?

where i enter the N samples in the commands

usefull commands normpdf histogram histfit

can anyone fill the blank in my brain what the is going on ??

Answer 1

[Walter Roberson]

N = 1234;
minx = -78.3; maxx = 1017.88;
miny = -pi; maxy = pi;
X = rand(1,N) * (maxx - minx) + minx;
Y = rand(1,N) * (maxy - miny) + miny;
z = sqrt(-ln(X)) .* cos(2*pi*Y);