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:

$P(X = 0) = P(X>0) = P(X<0) = \dfrac{1}{3}$

$P(X=-2) = P(X = -1) = \dfrac{1}{6}$

$P(X=2) = P(X=1) = \dfrac{1}{6}$