Question
State if the following is not the probability mass function of a random variable. Give reasons for your answer.
X $0$ $1$ $2$
P(X) $0.1$ $0.6$ $0.3$

Answer

P.m.f. of random variable should satisfy the following conditions :
(a) $0 \leq p_i \leq 1$
(b) $∑pi = 1$
X $0$ $1$  
P(X) $0.1$ $0.6$ $0.3$
(a) Here $0 \leq p_i \leq 1$​​​​​​​
(b) $∑pi = 0.1 + 0.6 + 0.3 = 1$
Hence, $P(X)$ can be regarded as p.m.f. of the random variable $X$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free