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Determine whether each of the following is a probability distribution. Give reasons for your answer. x 0 1 2 P(x) 0.4 0.4 0.2 - 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
P(x) 0.4 0.4 0.2
Sum
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Solution

Here, P(x) > 0 for all values of x

Now, consider,

`sumP(x)` = 0.4 + 0.4 + 0.2 = 1

∴ Given distribution is a probability distribution.

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