where B is the Beta function.
Range ππ β€ π₯ β€ π’π
Parameter ππ: ππ < π§min, the lower bound of π§
Parameter π’π: π§max < π’π, the upper bound of π§
Parameter π: ππ < π < π’π, the mode of π§
Notes: The PERT argument π§ and the three parameters, ππ, π’π and π are transformed using the PERT transform; the resulting argument, π₯ is distributed Beta, with shape parameters πΌ and π½.