General Beta distribution with in arbitrary limits?

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I want to generate Beta Random numbers in interval 2 to 5; I want it to have parameters alpha = 3; and beta=2; and I want it to have a variance = 0.33; How do I do it? I know mean is 1/(1+2/3) =3/5 = 0.6 for interval 0 to 1. Rest I have no clue. Thanks in advance.

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Torsten
Torsten 2015-8-5
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David Stolz
David Stolz 2018-8-16
Does this also allow to determine the probability densities of data points under the assumption of a beta distribution with another domain than 0,1? I.e. is there a function like betapdf() for other domains? Thanks in advance
Jeff Miller
Jeff Miller 2018-8-17
Use a linear transformation of the 0,1 random variables to get them into whatever new range you want, i.e., y = a + b*beta01, where you choose a & b to get the desired new domain.

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