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


Y



-1



0



1



P(Y)



0.6



0.1



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 = 0.6 + 0.1 + 0.2


= 0.9 ≠ 1


Hence, the given table is not the probability distributions of a random variable.


1