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

X

0

1

2

3

4

P(X)

0.1

0.5

0.2

-0.1

0.3

Answer

X	0	1	2	3	4
P(X)	0.1	0.5	0.2	-0.1	0.3

Here P(X) = -0.1 for X = 3
This is not possible as 0 ≤ P(X) ≤ 1
∴ given distribution is not a probability distribution of a random variable

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