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in Probability and Probability Distribution by (46.2k points)

Find which of the following probability distribution is possible for a random variable :

(i) 

x 0 1 2
P(x) 0.4 0.4 0.2

(ii) 

x 0 1 2
P(x) 0.6 0.1 0.2


(iii) 

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

1 Answer

+1 vote
by (47.9k points)
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Best answer

(i) Sum of probabilities = 0.4 + 0.4 + 0.2 = 1 

Hence, given distribution is a probability distribution. 

(ii) Sum of probabilities = 0.6 + 0.1 + 0.2 = 0.9 ≠ 1 

Hence, the given distribution is not a probability distribution. 

(iii) Here, one of the probability is – 0.1. which is negative. 

Hence, this distribution is not probability distribution.

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