Random variable is also known as:
A random variable represents the result of a random process.
The random variable value is the summary of many outcomeS (original variable) of a random phenomenon that describes the result of a random process.
E.g.
Random variable:
Many random variables depend not only on a chance but also on time. They evolve in time while being random at each particular moment.
A random variable that depend on time is called a stochastic process.
Example of random variable
Random variables can be:
ie taking any of a specified finite or countable list of values, endowed with a probability mass function characteristic of the random variable's probability distribution;
In an experiment a person may be chosen at random, and one random variable may be the person's height.
Mathematically, the random variable is interpreted as a function which maps the person to the person's height.
Associated with the random variable is a probability distribution that allows the computation of the probability that the height is in any subset of possible values, such as the probability that:
This is a discrete random variable with non-negative integer values
See Statistics - Continuous Variable ie taking any numerical value in an interval or collection of intervals, via a probability density function that is characteristic of the random variable's probability distribution; or a mixture of both types.
The values taken by the random variable are directions.
<MATH> X = \text{the angle spun} </MATH>
Possible Sample space
The probability:
When random variables (independent) (estimate of a random process) are added to a set their distribution tends toward a normal distribution (informally a “bell curve”) See Statistics - Central limit theorem (CLT)