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400Guide1F10

# 400Guide1F10 - MTH SC 400 Study Guide Test 1 Coverage...

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MTH SC 400 - Study Guide - Test 1 Coverage: Chapter 1(1.1-1.5), Chapter 2(2.1-2.5, 2.7), Chapter 3(3.1-3.5) I. DEFINITIONS: 1. The sample space S: is the set of all possible outcomes of an experiment. (In theory, it can be any set.) 2. An event E: is a subset (any subset) of the sample space. 3. Two events E and F are called mutually exclusive: if EF: = E F = . A collection F 1 , F 2 , F 3 , ... of events are called mutually exclusive (or pair-wise disjoint) if and only if F i F j = , i j. A partition of S is collection of mutually exclusive events whose union is S; i.e., A collection of subsets of S, say {F 1 , F 2 , F 3 , ... }, is a partition of S if and only if F i F j = , i j and S = F 1 F 2 F 3 ... = i = 1 F i . 4. A probability measure on a set S: is a rule (function) P which assigns to each subset E of S a real number P(E) so that the following conditions are satisfied: (i) P(E) 0 for all E, (ii) P(S) = 1, (iii) If F 1 , F 2 , F 3 , ... is a countably infinite sequence of mutually exclusive events then P(F 1 F 2 F 3 ... ) = P ( F i ) i = 1
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