12. Letrandomvariable X hasgeometric distribution withp.d.f.aaf(x) = pq*", k =1,2,3,... Show that E[X]=- and Var(X)=4 without using itsmoment generating function.

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Answered: 12. Let a random variable X has a…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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12. Let a random variable X has a geometric distribution with p.d.f. f(x) = pq*", k =1,2,3,. Show that E[Xx]= = and Var(X)= without using its moment generating function.