Discrete Random Variable Distributions

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6 Terms

1
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Bernoulli Distribution

A probability distribution that models the number of success s in a fixed number of independent Bernoulli trials, each with the same probability of success.

<p>A probability distribution that models the number of success s in a fixed number of independent Bernoulli trials, <strong>each with the same probability of success</strong>.</p>
2
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Binomial Distribution

A probability distribution representing the number of successes in a fixed number of independent Bernoulli trials.

<p>A probability distribution representing the <strong>number of successes </strong>in a fixed number of independent Bernoulli trials. </p>
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Geometric Distribution

A probability distribution that models the number of trials needed to achieve the first success in a series of independent Bernoulli trials.

<p>A probability distribution that models the number of trials needed to achieve the <strong>first success</strong> in a series of independent Bernoulli trials. </p>
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Hypergeometric Distribution

A probability distribution that describes the number of successes in a sequence of draws from a finite population without replacement.

<p>A probability distribution that describes the number of successes in a sequence of draws from a finite population <strong>without replacement.</strong> </p>
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Negative Binomial Distribution

A probability distribution that models the number of trials needed to achieve a specified number of successes in a series of independent Bernoulli trials.

<p>A probability distribution that models the number of trials needed to achieve a <strong>specified number of successes</strong> in a series of independent Bernoulli trials. </p>
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Poisson Distribution

A probability distribution that models the number of events occurring within a fixed interval of time or space, given a known constant mean rate and independence between events.

<p>A probability distribution that models the number of events occurring within a fixed interval of time or space, <strong>given a known constant mean rate</strong> and independence between events. </p>