simulating probability density functions

Hey everyone,

I derived the probability density function and cumulative distribution function formulas for the random variable "R" .I need to simulate them and compare them with my theoretical results.Can you give any suggestions how to simulate them.Thanks for the help

[James Tursa]

In what form do you have these functions? An equation or formula of some kind? Or just a vector of values? Your approach will depend on what you have to work with.

[Naga A]

The Cdf function looks like this:

F_R(r) = Pi*r^2             if 0 < r < sqrt(3)/2
        = Pi*r^2 - 6*B_1    if sqrt(3)/2 < r < 1
        = 1                 if    r > 1

I need to check the formula which I obtained theoretically is correct or not, by selecting some random value for "r" and find the value of cdf using the above functions.I'm thinking of algorithm like this:

for i=1:10,000
    r= rand() % random number generator
    F_x=find cdf
 end
plot(r,F_x);

Am I right?