U-shaped Beta distribution

Dason

Ambassador to the humans
#21
The a and b I were referring to were the limits your want to transform the range to. Don't think of them as the alpha and beta of the Beta distribution.
 
#22
The mean is a/(a+b) so if you make a = 0.35 and b = 0.65 then the mean on (0,1) is 0.35. Generate the random numbers from 0 to 1 using beta(0.35,0.65) and multiply them by 10. They will make a cup shaped beta shaped curve from 0 to 10 but the ends will be different heights.
=BETAINV(RAND(),0.35,0.65)*10 in Excel gives this shape.
1580938544744.png
 
#25
I assume that it doesn't have to be beta. If you don't mind a little programming its often not hard to make a random number generator for any shape that you can put in mathematical terms.
 
#26
I assume that it doesn't have to be beta. If you don't mind a little programming its often not hard to make a random number generator for any shape that you can put in mathematical terms.
Yeah, I am not sure how to do it, but I will see. Thank you!