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# Moment Generating Function (Poisson Distribution)

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I understand how the exponential function is used to get the 3rd part of the answer which is e-leele^t

Could someone please explain what happens to take the e-l out of the sum and show how the etl can be put inside the brackets?
2. (Original post by JKITFC)
I understand how the exponential function is used to get the 3rd part of the answer which is e-leele^t

Could someone please explain what happens to take the e-l out of the sum and show how the etl can be put inside the brackets?
As far as the sum is concerned, the is a constant and can therefore be taken outside of the sum. For the second question,

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