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Models Tut Qstn 20c

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asked Feb 27 in BUS 3018F - Models by Kuzy (130 points)
edited Feb 27 by Kuzy

How can one simplify the summation ( k from 0 to infinity) of    k * e^-(lambda*k)?

1 Answer

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answered Feb 27 by Mulisa (240 points)

Not sure about how to simplify the summation, but for 20.c you can simply do it by just differentiating  the generating function (with respect to s) from 20.b. Then set s=1 and that should give the required mean of K