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


X



0



1



2



3



4



P(X)



0.4



0.5



0.2



-0.1



0.3



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

As we see from the table that P(X) = -0.1 for X = 3.


It is known that probability of any observation must always be positive that it can’t be negative.


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


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