m(t) = (pe +9)", where q = 1 - P. Differentiate the moment-generating function in Exercise 3.145 to find E(Y) and E(Y2). Then find V (Y).
m(t) = (pe +9)", where q = 1 - P. Differentiate the moment-generating function in Exercise 3.145 to find E(Y) and E(Y2). Then find V (Y).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Q3.146
Transcribed Image Text:3.145 If Y has a binomial distribution with n trials and probability of success p, show that the
moment-generating function for Y is
m(t) = (pe' +q)",
where q = 1 - p.
3.146 Differentiate the moment-generating function in Exercise 3.145 to find E(Y) and E(Y2). Then
find V (Y).
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