Tagged: probability mass function

Expectation, Variance, and Standard Deviation of Bernoulli Random Variables

Problem 747

A random variable $X$ is said to be a Bernoulli random variable if its probability mass function is given by
P(X=0) &= 1-p\\
P(X=1) & = p
for some real number $0 \leq p \leq 1$.

(1) Find the expectation of the Bernoulli random variable $X$ with probability $p$.

(2) Find the variance of $X$.

(3) Find the standard deviation of $X$.

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