How to generate random numbers from a scaled beta PDF?

Hello! I generated a scaled Beta PDF with parameters a=3, b=3, scaled in the interval [-0.5,0.5] by using the function Scaled_BetaPDF, whose output are the probabilities of each element in the interval. However, I am not sure how to generate one random number from such a distribution.

My code to generate the PDF:

X=-0.5:.1:0.5;
Scaled_BetaPDF(X, 3, 3, -0.5, 0.5)

Then, in order to generate a random number from this distribution, I tried the following codes (obviously wrong):

random(Scaled_BetaPDF(X, 3, 3, -0.5, 0.5))

which gave me the error "Error using random The NAME argument must be a distribution name.".

How can generate random numbers from a PDF that I create with a specific function?

Thanks

Answer 1

[Jeff Miller]

Generate regular beta random numbers and then rescale them. I guess you want to generate randomly from the regular beta(3,3) distribution and then subtract 0.5.