Statistics 4.3

Statistics 4.3 - 4-3 Binomial Distributions Objectives:...

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4-3 Binomial Distributions Objectives : Students will be able to: Define binomial probability distribution; Calculate binomial probabilities; and Solve application problems involving binomial probabilities. Definition A binomial probability distribution results from a procedure that meets all the following requirements: 1. The procedure has a fixed number of trials. 2. The trials must be independent (The outcome of any individual trial doesn’t affect the probabilities in the other trials). 3. Each trial must have all outcomes classified into two categories. 4. The probabilities must remain constant for each trial. Notation for Binomial Distributions S and F (success and failure) denote the two possible categories of all outcomes; p and q will denote the probabilities of S and F, respectively, so P (S) = p ( p = probability of success) P (F) = 1 – p = q ( q = probability of failure) n denotes the number of trials x denotes a specific number of successes in n trials, so x can be any whole number between 0 and n
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Statistics 4.3 - 4-3 Binomial Distributions Objectives:...

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