Term
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Definition
| Variable whose value is a numerical outcome of a random phenomenon. |
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Term
| Discrete Random Variable (DRV) |
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Definition
| Has a countable number of possible values. |
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Term
| Probability Distribution (DRV) |
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Definition
| Lists the values and their probabilities of a discrete random variable X. |
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Term
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Definition
| Compares the probability model for random digits with the model given by Benford's law. The height of each bar shows the probability of the outcome at its base. Because the heights are probabilities, they add to 1. |
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Term
| Continuous Random Variable (CRV) |
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Definition
| Takes all values in an interval of numbers. |
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Term
| Probability Distribution (CRV) |
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Definition
| Described by a density curve. The probability of any event is the area under the density curve and above the values of X that make up the event. |
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Term
| All continuous probability distributions assign probability 0 to every individual outcome. |
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Definition
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Term
| Mean of Discrete Random Variable |
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Definition
Multiply each possible value by its probability, then add all of the products
μX = x1p1 + x2p2 + … + xkpk
= ∑xipi |
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Term
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Definition
If X is a random variable and a and b are fixed numbers, then
μa+bX = a + bμX |
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Term
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Definition
If X and Y are random variables, then
μX+Y = μX + μY |
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