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Understanding the Binomial Probability Distribution in Statistics

Discover the logic behind the binomial distribution in statistics, focusing on Bernoulli populations and trials. Learn about binomial experiments, combination formula, mean, and standard deviation.

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Understanding the Binomial Probability Distribution in Statistics

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

  2. 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.

  3. 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 3.1415....

  4. Combination Formula

  5. 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

  6. Mean and Standard Deviation of the Binomial Distribution

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