Question

P(X = x) = {

1

3

x, if x ∈ {1,2}

0, otherwise.

Answer 1

Given probability function is-

$P(X=x)=3x+1,x\in$ {$1,2$ }

$=0,\text{otherwise}$

At $x=0,P(1)=1$

At $(x=1),P(1)=3(1)+1=4$

At $(x=2),P(2)=3(2)+1=7$

Hence the Probability Distribution is given by-