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


Z



3



2



1



0



-1



P(Z)



0.3



0.2



0.4



0.1



0.05



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 = 0.3 + 0.2 + 0.4 + 0.1 + 0.05


= 1.05 ≠ 1


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


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