# Discrete random variable

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## Discrete random variable

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, because they can only take on certain values, such as \$10.00, \$10.01 and \$10.02 and not \$10.005, since stocks have a minimum tick size of \$0.01. By way of contrast, stock returns are continuous not discrete random variables, since a stock's return could be any number.

## Discrete Random Variable

A variable that can take only one of several definite values. For example, one's FICO score is a discrete random variable because it can only be a positive integer between 300 and 850.
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If X(S) is a most countable in R, then X is a discrete random variable.
If X is a discrete random variable, then a better way of describing it is to give its probability distribution function (also pdf), an array that contains all its values [x.
In the case where X is a discrete random variable, it can be easily seen that
Below are the computational formulas for a discrete random variable with pdf [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and for a continuous random variable with pdf f: R[right arrow]R, respectively:
n[Pi]] be the set of discrete random variables taking values [w.
Let F and G be the distribution functions of discrete random variables V and W, respectively; F(u) is defined as Pr(V [greater than or equal to] u).
Let Z be a discrete random variable taking values z = ([z.
We have described procedures and algorithms for computer simulations of some common discrete random variables.
If the set of values that X takes is at most countable, then X is a discrete random variable, if it is an interval in [?
The number of tails, T, that we can obtain is 10, 1, 2}, and T is a discrete random variable.

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