l The Bernoulli Process Characteristics 1. There are two or more consecutive trials 2. In each trial, there are just two possible outcomes 3. The trials are statistically independent 4. The probability of success remains constant trial-to-trial o 2002 The Wadsworth Group
The Bernoulli Process, Characteristics 1. There are two or more consecutive trials. 2. In each trial, there are just two possible outcomes. 3. The trials are statistically independent. 4. The probability of success remains constant trial-to-trial. © 2002 The Wadsworth Group
l The Binomial distribution The binomial probability distribution defines the e proba ability of exactly x successes in n trials of the Bernoulli process P(x) x!(n-X 可x(-=xy-x for each value of x Mean =E(x)=1π Variance:o2=F[(x-1)2]=nπ(1-π o 2002 The Wadsworth Group
The Binomial Distribution • The binomial probability distribution defines the probability of exactly x successes in n trials of the Bernoulli process. – for each value of x. – Mean: µ= E(x) = n p – Variance: s2 = E[(x – µ)2 ] = n p (1 – p) P(x) = n! x!(n– x)!px(1–p)n– x © 2002 The Wadsworth Group