Let X have a Poisson distribution with a variance of 3. Find P(X = 2)

Chapter 2, Problem 2.6-2

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QUESTION:

Let X have a Poisson distribution with a variance of 3. Find P(X = 2).

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QUESTION:

Let X have a Poisson distribution with a variance of 3. Find P(X = 2).

ANSWER:

Step 1 of 2

Let X has a Poisson distribution with a variance of 3.

That is,

The probability mass function of Poisson distribution can be defined as,

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