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PERT Distribution

    Probability Density Function (PDF)
    Cumulative Distribution Function (CDF)
    where B is the Beta function.
    Range 𝑙𝑏 ≤ 𝑥 ≤ 𝑢𝑏
    Parameter 𝑙𝑏: 𝑙𝑏 < 𝑧min, the lower bound of 𝑧
    Parameter 𝑢𝑏: 𝑧max < 𝑢𝑏, the upper bound of 𝑧
    Parameter 𝜂: 𝑙𝑏 < 𝜂 < 𝑢𝑏, the mode of 𝑧
    Notes: The PERT argument 𝑧 and the three parameters, 𝑙𝑏, 𝑢𝑏 and 𝜂 are transformed using the PERT transform; the resulting argument, 𝑥 is distributed Beta, with shape parameters 𝛼 and 𝛽.

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