Are all continuous random variable necessarily infinite? Explain.

Lennie Carroll

Lennie Carroll

Answered question

2020-11-23

Are all continuous random variable necessarily infinite? Explain.

Answer & Explanation

izboknil3

izboknil3

Skilled2020-11-24Added 99 answers

Random variables are a rule or technique that assigns a particular value to a variable that represents the result of an event in the sample space. There are two different categories of these random variables: 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.

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