Random Variable – Its Value and Frequency

Random Variable Definition

If S is the sample space of a random experiment and to each si belongs to S there corresponds unique real number X(si), then the real valued function s thus defined is called a random variable defined on S.

Values of a Random Variable

Suppose R is range of a random variable X and R = {x1, x2,…..,xn}then (x1, x2,…..,xn) are called values of the random variable X.

Frequency of a Random Variable

Suppose X is a random variable defined on a sample space S. If x1, x2,…..,xn are values of S and if fi simple events are corresponding to the same value Xi of X for i=1 to n, then f1, f2,……,fn are called frequencies of x1, x2,…..,xn respectively.

Note :-

S is a sample space of a random experiment. N is the number of simple events on S. x1, x2,…..,xn are values of X and f1, f2,……,fn are corresponding frequencies then

sum-of-frequencies-of-a-random-variable



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