Question: Let X Geo (p) (with either density (4.16) or (4.18)). Calculate E [X] and E X2 directly from the definition of expected value and,

 Let X ∼ Geo (p) (with either density (4.16) or (4.18)). Calculate E [X] and E

X2 directly from the definition of expected value and, from these, show

(4.51), i.e. that V (X) = (1 − p) /p2.

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