Question: Let Y be a geometric random variable. Show that E(Y) = 1/P . Write Thus, Then use the fact that (The sum of this infinite

Let Y be a geometric random variable. Show that E(Y) = 1/P . Write

E(Y) = PEyq"- where q = 1 - p %3D y=1 and

Thus,

note that dq" dq

Then use the fact that

(The sum of this infinite series is given in most mathematical handbooks.)]

E(Y) = PEyq"- where q = 1 - p %3D y=1 and note that dq" dq

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