Binomial Random Variables

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What is a Binomial Random Variable?

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A Binomial Random Variable is a discrete random variable that counts the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.

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What are the parameters of a Binomial Distribution?

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The parameters of a Binomial Distribution are 'n' (the number of trials) and 'p' (the probability of success on each trial).

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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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What is the formula for the probability of getting exactly k successes in n trials?

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What is the mean of a Binomial Distribution?

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CCSS.HSS.MD.A.2

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What is the variance of a Binomial Distribution?

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What is the difference between a Binomial and a Geometric Distribution?

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A Binomial Distribution counts the number of successes in a fixed number of trials, while a Geometric Distribution counts the number of trials until the first success.

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CCSS.HSS.ID.A.3

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What is the probability of getting at least k successes in n trials?

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CCSS.HSS.MD.A.2

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What is a Bernoulli trial?

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A Bernoulli trial is a random experiment with exactly two possible outcomes: 'success' and 'failure'.

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What is the cumulative distribution function (CDF) for a Binomial Random Variable?

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