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Determine whether each of the following is a probability distribution. Give reasons for your answer. x 0 1 2 3 4 P(x) 0.1 0.5 0.2 –0.1 0.3 - Mathematics and Statistics

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Question

Determine whether each of the following is a probability distribution. Give reasons for your answer.

x 0 1 2 3 4
P(x) 0.1 0.5 0.2 –0.1 0.3
Sum

Solution

Here, P(X = 3) = –0.1 < 0

Probability for an value of x cannot be negative.

∴ Given distribution is not a probability distribution.

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Chapter 8: Probability Distributions - Exercise 8.1 [Page 140]

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