The Excel BETAINV function continuously computes the inverse of the cumulative beta probability density function for a given probability.
Syntax :
=BETAINV(probability,alpha,beta,[A],[B])
Parameters :
probability – The Beta distribution probability for which you wish to get the value of x.
alpha – A distribution parameter (must be greater than 0).
beta – A distribution parameter (must be greater than 0).
[A] – An optional parameter that specifies the lower bound of the x interval.
(If omitted, [A] is set to 0 by default.)
[B] – An optional parameter that specifies the upper bound of the x interval.
(If omitted, [B] is set to the default value of 1).
It is worth noting that if the parameters [A] and [B] are both set to 0, the computation becomes the Inverse Standard Cumulative Beta Distribution.
The charts below depict the Cumulative Beta Distribution and the Inverse Cumulative Beta Distribution, with the parameters alpha and beta set to 4 and 5, respectively. The x interval is set to [0, 1], resulting in the Standard Cumulative Beta Distribution.
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