Probability

Question

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

X

0

1

2

P(X)

0.4

0.4


0.2

 

Answer

X

0

1

2

P(X)

0.4

0.4

0.2

Now    0 ≤ P(X) ≤ 1
and    Σ P(X) = 0.4 + 0.4 + 0.2 = 1
∴ given distribution is a probability distribution of a random variable.

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