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# prob - Mathematics of Engineering ME17 Spring 2008 Notes on...

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Mathematics of Engineering - ME17 Spring 2008 Notes on Probability Misunderstanding of probability may be the greatest of all impediments to scientiﬁc literacy - Stephen Jay Gould These notes cover material that you are responsible for, but which is not covered the textbook. Let N be the number of trials, and let n be the number of times a particular event occurs in those N trials. The, the probability p of that particular event occurring is deﬁned to be p = lim N →∞ n N . (1) Note that we must have 0 p 1. Events are deﬁned to be mutually exclusive if only one of them can occur in a given trial. The following rule applies to mutually exclusive events: Rule 1 If p 1 , p 2 , ··· p r are the separate probabilities of r mutually exclusive events, the probability P that one of these events will occur in a given trial is P = p 1 + p 2 + ··· + p r . (2) Events are said to be independent if the occurrence of any of them in no way inﬂuences the probability of occurrence of any other. The following rule applies to independent

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prob - Mathematics of Engineering ME17 Spring 2008 Notes on...

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