MATH 3131 Lecture Notes - Disjoint Sets, Covariance, Sp1 Transcription Factor

• School: York University
• Department: Mathematics and Statistics
• Course: MATH 3131
• Professor: all

Document Summary

A={(i,j):i=6 or j=6}=atleastone 6 ,b = {(i,j) : i+j 10}= sum of the two numbers greater or equal to 10. complement: ac, a or a =the set of all outcomes in intersection: a union: a b= all outcomes in either a or b or both a and b; symmetric difference: a b= all outcomes in only a or only b; A b={3,4}, a b={1,2,3,4,5,6}= , a c={1,2,3,4,5}, a c={1,3}, c d= , Negative binomial distribution: (i). independent trials; (cid:229) (cid:229) (cid:230) (cid:231) (cid:246) (ii). each trial has two possible outcomes: success and failure, with probability p and 1 p, respectively; (iii). X = the number of trials needed to produce the rth success. f(x) = x - 1 r - 1. Has pmf: f (x) = p(x = x) = l xe- l x! Percentile: given a continuous random variable x with pdf f(x), its (100 p) th percentile = p = f (x)dx n( p) (p) .