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This paper addresses the various statistical concepts which are necessary background when dealing with probabilistic methods. Topics covered include basic statistical terminology, common probability distributions, determination of underlying distribution, probability plotting, confidence intervals and the Monte Carlo method. These topics are demonstrated using a multi-step example problem.

In this paper an overview of the methods used on modern in probabilistic design are presented. A brief outline of the underlying mathematical principles are outlined. Limitations and strengths of the various methods are discussed.