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14 Cards in this Set
- Front
- Back
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random variable
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a function or rule that assigns a numerical value to each outcome in the sample space of a random experiment.
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discrete random variable
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has a countable number of distinct values.
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discrete probability distribution
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assigns a probability to each value of a discrete random variable X.
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expected value
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the sum of all X-values weighted by their respective probabilities.
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variance
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a weighted average of the dispersion about the mean.
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standard deviation
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the square root of the variance.
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probability distribution function (PDF)
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a mathematical function that shows the probability of each X-value.
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cumulative distribution function (CDF)
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a mathematical function that shows the cumulative sum of probabilities, adding from the smallest to the largest X-value, gradually approaching unity.
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uniform distribution
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describes a random variable with a finite number of integer values from a to b (the only two parameters).
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Bernoulli experiment
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a random experiment with only 2 outcomes.
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binomial distribution
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arises when a Bernoulli experiment is repeated n times.
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model of arrivals
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used model arrivals per unit of time (most Poisson applications model arrivals per unit of time)
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discrete variable
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each value of X has its own probability P(X).
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continuous variable
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events are intervals and probabilities are areas underneath smooth curves. A single point has no probability.
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