BETAINV

BETAINV(probability, alpha, beta [,A] [,B])

Returns the inverse of the probability distribution function for a beta distribution.

probabilityThe probability associated with the distribution.
alphaThe parameter to the distribution.
betaThe parameter to the distribution.
A(Optional) The lower bound to the interval of x.
B(Optional) The upper bound to the interval of x.

REMARKS
* This function is only available for backwards compatibility and should not be used.
* BETA.INV was added in Excel 2010 to replace this function.
* The beta distribution is a [[continuous distribution]]
* If "probability" = 0, then #NUM! is returned.
* If "probability" > 1, then #NUM! is returned.
* If "alpha" = 0, then #NUM! is returned.
* If "beta" = 0, then #NUM! is returned.
* If "A" and "B" are left blank, then the standard cumulative beta distribution is used with A = 0 and B = 1.
* If "A" is left blank, then 0 is used.
* If "B" is left blank, then 1 is used.
* This function uses an iterative technique for calculating the function. Given a probability value, the function iterates until the result is accurate to within ±3x10-7.
* If any of the arguments are not numeric, then #VALUE! is returned.
* If the function does not converge after 100 iterations, then #N/A is returned.
* You can use the BETA.DIST to return the probability distribution function OR the cumulative distribution function for a beta distribution.
* For the Microsoft documentation refer to support.microsoft.com

 A
1=BETAINV(0.685470581, 8, 10, 1, 3) = 2
2=BETAINV(0.2, 1.5, 4, 1, 2) = 1.112
3=BETAINV(0.5, 1, 2, 1, 2) = 1.293
4=BETAINV(0.5, 1, -2, 1, 2) = #NUM!
5=BETAINV(0, 8, 10, 1, 3) = #NUM!
6=BETAINV(1, 8, 10, 1, 3) = #NUM!
7=BETAINV("some text", 8, 10, 1, 3) = #VALUE!


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