QMS 102 Chapter Notes - Chapter 5: Collectively Exhaustive Events, Marginal Distribution, Conditional Probability

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Event - each possible outcome of a variable. X - # of ways in which the event occurs t - total # of possible outcomes: simple event - described by a single characteristic, complement event - includes all events that are not a part of a. Joint event - event that has two or more characteristics. Sample space - the collection of all the possible events. Diagramming probability - venn diagrams, contingency tables, or decision trees (see slides or text) Simple probability - probability of occurrence of a simple event (x/t) Joint probability - probability of an occurrence involving two or more events. Marginal probability - consists of a set of joint probabilities. P(a) = p(a and b1) + p(a and b2(cid:524)+ . + p(cid:523)a and bk) Mutually exclusive - if both the events cannot occurs simultaneously. Collectively exhaustive - if one of the events must occur.

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