Term
| Probability Distribution of a random variable |
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Definition
The probability distribution of a random variable X is a description of the probabilities associated with the possible values of X. For a discrete random variable, the distribution is often specified by just a list of the possible values along with the probability of each.
In some cases, it is convenient to express the probability in terms of a formula. |
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| Probability of a Discrete Variable X with possible values x1, x2,..., Xn... |
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Definition
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| The cumulative distribution function of a discrete random variable X, denoted as F(x), is |
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| The mean, expected value, variance and standard deviation of a discrete random variable X is: |
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Term
| What is a discrete Uniform Function? |
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Definition
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| Mean of a discrete uniform random variable X: |
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Definition
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| Mean of X when X is a discrete uniform random variable on the consequtive integers a, a+1, a+2, .....b for a less than or equal to b |
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Definition
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| The mean and variance of a binomial random variable |
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| Geometric probability distribution function |
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Definition
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| The mean and variance of a geometric distribution |
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Definition
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Term
| Negative Binomial Distribution |
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Definition
A generalization of a geometric distribution in which the random variable is the number of
Bernoulli trials required to obtain r successes results in the negative bionmial distribution |
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Term
| Probability Distribution Function of a negative binomial distribution: |
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Definition
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| Mean and Variance of a binomial distribution function |
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Definition
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Term
Probability function of Hypergeometric distribution (
samples are selected without replacement) |
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Definition
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Term
| Mean and Variance of a Hypergeometric distribution |
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Definition
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Term
For a hypergeometric random variable, E(x) is similar to the mean a binomial random variable. Also, V(x) differs from the result for a binomial random variable only by the term shown below. |
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Definition
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Term
| Function of Poisson probability distribution |
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Definition
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| Mean and Variance of Poisson distribution function: |
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