Define the density function of X by f(x)=2 for x 1,2,3... and f(x)=0 otherwise. Find the moment generating function of X, and then use it to find Var(X).

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 2E
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Define the density function of X by f(x)=2
for x = 1,2,3... and f(x)= 0 otherwise.
3.
9.
Find the moment generating function ofX, and then use it to find Var(X).
Transcribed Image Text:Define the density function of X by f(x)=2 for x = 1,2,3... and f(x)= 0 otherwise. 3. 9. Find the moment generating function ofX, and then use it to find Var(X).
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