Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Q3.146
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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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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