Arithmetic Mean, Variance and Standard Deviation of a Random Variable Distribution

Suppose the random variable distribution of a random variable X is as follows:

X = xi P(x = xi)
x1
x2
x3
.
.
.
xn
P1
P2
P3
.
.
.
Pn


Then, Arithmetic Mean μ =

arithmetic-mean-of-random-variable-distribution

Variance σ2 =

variance-of-random-variable-distribution

Standard Deviation σ =

standard-deviation-of-a-random-variable-distribution

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