MEGN 537 – Probabilistic Biomechanics Ch.4 – Common Probability Distributions Anthony J Petrella, PhD.

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MEGN 537 – Probabilistic Biomechanics Ch.4 – Common Probability Distributions Anthony J Petrella, PhD

Continuous Data Normal Distribution - infinity to + infinity Lognormal Distribution 0 to + infinity

Bounded: where B( ,  ) is the “beta function” CDF X Beta Distribution X PDF Images:

Truncated Normal PDF: whereis the PDF of the normal curve, and is the CDF of the normal curve Applicable for tolerance ranges on dimensions

PDF: Applicable for tolerance ranges on dimensions, temporal variations Uniform Distribution PDF L U CDF L U 1.0

Mean and COV Expressions for E(X) and COV(X) for different distributions

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