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…

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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter5: Graphs And The Derivative

Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test

Problem 63E

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Question

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

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