Chapter 4 - Chapter 4 Probability 4.1 Definitions of Some...

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STA3032, Chapter 4, Page 1 of 4 Chapter 4 Probability 4.1 Definitions of Some Basic Terms Definition : A Statistical Experiment is an experiment that has Two or more outcomes and Uncertainty as to which outcome will be observed. Definition: Probability is the study of uncertainty in a statistical experiment. Definition: S = Sample space is the set of all possible outcomes of a statistical experiment. Definition: An event is any subset of the sample space. Notes: Since S and S S, both = { } and S are events. = { } is called the impossible event and has probability zero, i.e., P( ) = 0. S is called the definite event and has probability of 1, i.e., P(S) = 1. Probability of any other event, say A, is between zero and one, i.e., 0 ≤ P(A) ≤ 1 for any event A. Set notation and set algebra, such as ,,    , and complement ( ' c A A A  ) are used in defining some events. Venn diagrams will be helpful to understand some of the concepts and solve some of the problems. (See pages 154 – 159) Definition: Mutually exclusive events: Two events A and B are said to be mutually exclusive (or disjoint) if they cannot occur at the same time, i.e., AB  . 4.2 Definitions of probability: a) Equally likely approach: If an experiment has n(S) equally likely outcomes and an event A has n(A) elements in it then P(A) = n(A) / N(S).
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Chapter 4 - Chapter 4 Probability 4.1 Definitions of Some...

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