Question:

Which of the following are not the probability distribution of a random variable ?
A.
X 0 1 2
P(X) 0.4 0.4 0.2
B.
X 0 1 2 3 4
P(X) 0.4 0.4 0.2 -0.1 0.3
C.
Y -1 0 1
P(Y) 0.6 0.1 0.2
D.
Z 3 2 1 0 -1
P(Z) 0.3 0.2 0.4 0.1 0.05
E.
X 0 1 2
P(X) \(\frac{25}{36}\) \(\frac{10}{36}\) \(\frac{1}{36}\)
Choose the correct answer from the options given below :

Updated On: Jun 13, 2024

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The Correct Option is B

The correct option is (B) :B, C and D only.

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X	3	4	5
P(X)	0.5	0.2	0.3

X	0	1	2	3	4	5	6	7
P(X)	0	m	2m	2m	3m	m²	2m²	7m² + m

X	1	2	3	4	5	6	7
P(X)	k	2k	2k	3k	k²	2k²	7k² + k

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X	0	1	2	otherwise
P(X)	k	2k	3k	0

X	0	1	2	otherwise
P(X)	k	2k	3k	0