Question

Let X be a random variable . P(X=-2)=P(X=-1),P(X=2)=P(X=1),P(X=0)=P(X>0)=P(X<0) . obtain the probability mass function of X.

Answer 1

Probability mass function:

$P(X=0)=P(X>0)=P(X<0)=1/3$

$P(X=-2)=P(X=-1)=1/6$

$P(X=2)=P(X=1)=1/6$