Math 22 Introductory Statistics Chapter 8 - The Binomial Probability Distribution.

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Presentation transcript:

Math 22 Introductory Statistics Chapter 8 - The Binomial Probability Distribution

Binomial Probability Experiment Logic behind the Binomial distribution Bernoulli Population - A population in which each element is one of two possibilities. The two possibilities are usually designated as success and failure. Bernoulli Trial - Observing one element in a Bernoulli population.

Binomial Probability Experiment An experiment that consists of n repeated independent Bernoulli trials in which the probability of success on each trial is and probability of each failure is 1 -. is the prob. of success and will not be associated with

Combination Formula

Binomial Probability Experiment P(success)+P(failure) = 1 The Binomial Probability Function is given by: n represents the number of trials k represents the number of successes represents the prob. of success 1- represents of prob. of failure

Mean and Standard Deviation of the Binomial Distribution