352FormulaSheet - MATH 352 - FORMULA SHEET N P (exactly m...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 352 - FORMULA SHEET P (exactly m of NA i events occur) = N k = m ( 1) k m ( k m ) S k , P (at least m of i events occur) = N k = m ( 1) k m ( k 1 m 1 ) S k , where S k = 1 j 1 < ··· <j k N P ( A j 1 A j 2 ··· A j k ) DISCRETE DISTRIBUTIONS Name Probability Mass Function Mean Variance Bernoulli( p ) p x (1 p ) 1 - x ,for x =0 , 1 pp (1 p ) Binomial( n, p ) ( n x ) p x (1 p ) n - x x , 1 ,...,n np (1 p ) Geometric( p )( 1 p ) x - 1 p x =1 , 2 ,... 1 /p (1 p ) /p 2 Negative Binomial( r, p ) ( x - 1 r - 1 ) p r (1 p ) x - r x = r, r +1 r/p r (1 p ) /p 2 Poisson( λ ) λ x x ! e - λ x , 1 λ λ Hypergeometric( n, K, N ) ( K x )( N - K n - x ) ( N n ) x , 1 n · K N N - n N - 1 · n · K N · N - K N CONTINUOUS DISTRIBUTIONS
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/15/2010 for the course MATH 352 taught by Professor M.tao during the Spring '09 term at University of Victoria.

Ask a homework question - tutors are online