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Lecture 8: Binomial and related distributions

Topics. Binomial experimentsBinomial random variables Hypergeometric, geometric, and negative binomial distributions. I. Binomial experiments. A binomial experiment meets the following characteristics:n trials, fixed in advanceIdentical trials, with only 2 possible outcomes (Bernoulli trial)I

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Lecture 8: Binomial and related distributions

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    1. 1 Lecture 8: Binomial and related distributions Devore, Ch. 3.4 – 3.5

    2. Topics Binomial experiments Binomial random variables Hypergeometric, geometric, and negative binomial distributions

    3. I. Binomial experiments A binomial experiment meets the following characteristics: n trials, fixed in advance Identical trials, with only 2 possible outcomes (Bernoulli trial) Independent trials Probability of success (p) is constant

    4. Examples Flipping a coin 10 times Testing a cell phone network for transmission or connection errors Testing a sample of air for a particular pollutant Number of female births at a hospital

    5. II. Binomial random variables A binomial random variable is associated with a binomial experiment with n trials and is defined as

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