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For X Pois(), find E(2X), if it is finite

Chapter 4, Problem 57

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QUESTION:

For X Pois(), find E(2X), if it is finite.

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QUESTION:

For X Pois(), find E(2X), if it is finite.

ANSWER:

Step 1 of 2

Given that,

X follows Poisson distribution with parameter  , that is,  .

It is required to find the value of .

The probability mass function of X is:

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