Q1 of 105 Page 569

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.


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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)



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0.5



0.2



-0.1



0.3


 1

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