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Poisson distribution is applied for:a.Continuous random variableb.Discrete random variablec.Irregular random variabled.Uncertain random variable

Question

Poisson distribution is applied for:a.Continuous random variableb.Discrete random variablec.Irregular random variabled.Uncertain random variable

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Solution

Poisson distribution is applied for b. Discrete random variable.

Here's why:

The Poisson distribution is a probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space. These events must occur with a known constant mean rate and independently of the time since the last event.

The events are represented as discrete random variables because they can only take on integer values (0, 1, 2, 3, etc.) and not continuous values (like 1.5 or 2.3). For example, you can't have half of an email or 2.3 emails. You can only have a whole number of emails. Therefore, the Poisson distribution is used for discrete random variables.

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