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Probability Theory


In decision-making problems, one is often faced with making decisions based upon phenomena that have uncertainty associated with them. This uncertainty is caused by inherent variation due to sources of variation that elude control or the inconsistency of natural phenomena. Rather than treat this variability qualitatively, one can incorporate it into the mathematical model and thus handle it quantitatively. This generally can be accomplished if the natural phenomena exhibit some degree of regularity, so that their variation can be described by a probability model. The ensuing sections are concerned with methods for characterizing these probability models.









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