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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