NCERT Class XII Mathematics Chapter - - Solutions

Question : 50

Total: 101

Exercise - 13.4

State which of the following are not the probability distributions of a random variable. Give reasons for your answer.
(i)

X	0	1	2
P(X)	0.4	0.4	0.2

(ii)

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

(iii)

Y	-1	0	1
P(Y)	0.6	0.1	0.2

(iv)

Z	3	2	1	0	-1
P(Z)	0.3	0.2	0.4	0.1	0.05

Solution:

(i) This distribution is probability distribution, because sum ofprobabilities is one.
(ii) This distribution is not a probability distribution, because probabilitycan never be negative.
(iii) This distribution is not a probability distribution, because sum ofprobabilities is less than one.
(iv) This distribution is not a probability distribution, because sum ofprobabilities is more than one.

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