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Statistical Inference: A Short Course by Michael J. Panik

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4.3 Basic Probability Calculations

How do we associate probabilities with events? Since events are subsets of S, let us employ a set function4img from the sample space to the unit interval [0,1]. Here P is a rule that can be ascribed to any event img some number img called its probability (Fig. 4.5). Note that if img, then img is the impossible event; and if img then img is the certain event. Thus probability is a number between 0 and 1 inclusive, where the larger is img the more likely it is that event img will occur.

Figure 4.5 P is a set function on

What are the characteristics of ? To answer this question, we start ...

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