STAT 3100 Study Guide - Midterm Guide: Random Variable

• School: University of Guelph
• Department: Statistics
• Course: STAT 3100
• Professor: Jeremy Balka

Document Summary

Xr=0 (cid:18)n r(cid:19)xryn r for any positive integer n. (a b) c = a (b c) (a b) c = a (b c) Intersections distribute over unions: a (b c . = (a b) (a c) . Unions distribute over intersections: a (b c . De morgan"s laws: a b = a b and a b = a b. , bk represent a partition of the sample space s (that is, b1, b2, . , bk are mutually exclusive events of which one must occur). Then for any event a where p (a) > 0: Let and represent the mean and standard deviation of a random variable x, and k be a positive constant. Then: p (|x | < k ) 1 . Alternatively: p (|x | k ) .