Binomial and Geometric Distributions-No Calculator

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What is a Binomial Distribution?

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A Binomial Distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent states and is defined by two parameters: the number of trials (n) and the probability of success (p).

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What is a Geometric Distribution?

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A Geometric Distribution models the number of trials needed to achieve the first success in a series of independent Bernoulli trials, characterized by a constant probability of success (p).

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What is the formula for the probability of exactly k successes in a binomial distribution?

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What is the formula for the cumulative probability of a binomial distribution?

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How do you calculate the mean of a binomial distribution?

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What is the standard deviation of a binomial distribution?

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What is the difference between BinomPDF and BinomCDF?

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BinomPDF calculates the probability of exactly k successes, while BinomCDF calculates the cumulative probability of k or fewer successes.

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What is the formula for the probability of the first success on the k-th trial in a geometric distribution?

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How do you find the probability of getting at least k successes in a binomial distribution?

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What is the relationship between BinomCDF and the complement rule?

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