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.

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