State if the following is not the probability mass function of a … - Vidyadip

Question

State if the following is not the probability mass function of a random variable. Give reasons for your answer.

Y	−1	0	1
P(Y)	0.6	0.1	0.2

✓

Answer

P.m.f. of random variable should satisfy the following conditions :

(a) 0 ≤ pi ≤ 1

(b) ∑pi = 1

Y	−1	0	1
P(Y)	0.6	0.1	0.2

Here ∑pi = 0.6 + 0.1 + 0.2

= 0.9 ≠ 1

Hence, P(Y) cannot be regarded as p.m.f. of the random variable Y.

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