State which of the following are not the probability distributions of

State which of the following are not the probability distributions of a random variable. Give reasons for your answer.(i) x012P(X)0.40.40.2(ii) x01234P(X)0.10.50.2-0.10.3 (iii) y-101P(y)0.60.10.2(iv) z3310-1P(z)0.30.20.40.10.05

Answer»

(i)

x	0	1	2	T
P(x)	4	4	2	1

(ii)

x	0	1	2	3	T
P(x)	.1	.5	.2	-.1	1

It is not P.d as P(X) < 0 when x = 3

(iii)

Y	-1	0	1	T
P(Y)	.6	.1	.2	.9

It is not P.d as ΣP(X) = .9 ≠1

(iv)

z	3	3	1	0	T
P(z)	.3	.2	.4	.1	1.05

It is not a P.d as ΣP(X) = 1.05 > 1

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State which of the following are not the probability distributions of a random variable. Give reasons for your answer.(i) x012P(X)0.40.40.2(ii) x01234P(X)0.10.50.2-0.10.3 (iii) y-101P(y)0.60.10.2(iv) z3310-1P(z)0.30.20.40.10.05

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