Maharashtra State BoardHSC Arts 12th Board Exam
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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) 0.3 0.4 0.3 - Mathematics and Statistics

Sum

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

0 -1 -2
P(X) 0.3 0.4 0.3
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Solution

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

(a) 0 ≤ pi ≤ 1

(b) ∑pi = 1.

0 -1 -2
P(X) 0.3 0.4 0.3

(a)  Here 0 ≤ pi ≤ 1

(b) ∑pi = 0.3 + 0.4 + 0.3 = 1

Hence, P(X) can be regarded as p.m.f. of the random variable X.

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 7 Probability Distributions
Exercise 7.1 | Q 3.6 | Page 232
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