STAT 4105 Study Guide - Midterm Guide: Sample Space, Conditional Probability, Random Variable

• School: Virginia Tech
• Department: Statistics
• Course: STAT 4105
• Professor: JP Morgan

Document Summary

If a b = , then sets a, b are mutually exclusive or disjoint. 2. 1 demorgan"s laws (a b)c = ac bc (a b)c = ac bc. The probability that at least one of the two events a, b occurs is: P (a b) = p (a) + p (b) p (a b) If events a, b are mutually exclusive, then: example: consider events a, b, c, d. P (a b) = p (a) + p (b) P (a) + p (b) + p (c) p (a b) p (a c) p (b b) + p (a b c) The probability that both events a, b occur is: example: consider events a, b, c, d. P (a b) = p (a)p (b|a) = p (b)p (a|b) P (a b c d) = p (a)p (b|a)p (c|a b)p (d|a b c) Two events are said to be independent if any one of the following holds.