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Must the values of x in a discrete probability distribution always be mutually exclusive? Why or...

Must the values of x in a discrete probability distribution always be mutually exclusive? Why or why not? Provide an example.

Math   Statistics-And-Probability   
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Answer #1

The values of x in a discrete probability distribution always be mutually exclusive.

Because in discrete distribution the probabilities assign to all the possible values of x. In discrete distribution, all the possible values of x must be countable and distinguishable to each others . In other words the sample space of the discrete random variable consist at most countable numbers. Therefore the values of x in a discrete probability distribution always be mutually exclusive.

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