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.
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
Related questions
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19da953c-62ba-4d3f-b8d0-3cee05d8f61f%2F45872f87-7560-42f7-bb06-17f2e53ff1fa%2Fzn54fca_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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