State which of the following are not the probability distributions of a random variable. Give reasons for your answer.


X



0



1



2



P(X)



0.4



0.4



0.2


Given: A given table with values for X and P(X).

As we know the sum of all the probabilities in a probability distribution of a random variable must be one.



Hence the sum of probabilities of given table = 0.4 + 0.4 + 0.2


= 1


Hence, the given table is the probability distributions of a random variable.


1