Question

Q(2)A random variable is defined as Construct the probability distribution function

of X and find the standard deviation of X.

Answer 1

The probability distribution for discrete random variable X can be represented by the formula

p(x)=P(X=x) for all x.

$V(x)=E[(X-\mu)^2]$

Standard deviation of $X=\sqrt{V(x)}$

$=\sqrt{E[(X-\mu)^2]}$