Probability

Question

State which of the following are not the probability distribution of a random variable. Give reasons for your answer.

Z

3

2

1

0

-1

P(Z)

0.3

0.2

0.4

0.1

0.05

Solution

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

ΣP(Z) = 0.3 + 0.2 + 0.4 + 0.1 + 0.04 = 1.05 > 1
This is not possible as Σ P(Z) = 1
∴ given distribution is not a probability distribution of a random variable.

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Probability

State which of the following are not the probability distribution of a random variable. Give reasons for your answer.

Z

3

2

1

0

-1

P(Z)

0.3

0.2

0.4

0.1

0.05

Some More Questions From Probability Chapter

Mock Test Series

NCERT Sample Papers

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For Daily Free Study Material Join wiredfaculty

Probability

State which of the following are not the probability distribution of a random variable. Give reasons for your answer. Z 3 2 1 0 -1 P(Z) 0.3 0.2 0.4 0.1 0.05

Some More Questions From Probability Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

State which of the following are not the probability distribution of a random variable. Give reasons for your answer.

Z

3

2

1

0

-1

P(Z)

0.3

0.2

0.4

0.1

0.05