# Are all continuous random variable necessarily infinite? Explain.

Lennie Carroll 2020-11-23 Answered
Are all continuous random variable necessarily infinite? Explain.
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The rule or method that is used to assign a particular value to a variable which is the outcome in the sample space of an event is known as Random variables. These random
variables are of two types: discrete random variables and continuous random variables.
Discrete variables contain number of finite values whereas continuous variables includes infinitely many values within an interval. For example,
Consider a continuous random variable X which define all the values of real numbers over an interval, then the set of outcome contain infinitely many values that are continuous.
Thus, all continuous random variables are necessarily infinite.