Solution Found!
Differentiate the moment-generating function in Exercise
Chapter 3, Problem 146E(choose chapter or problem)
QUESTION:
Differentiate the moment-generating function in Exercise 3.145 to find \(E(Y)\) and \(E\left(Y^{2}\right)\). Then find \(V(Y)\).
Equation Transcription:
Text Transcription:
E(Y)
E(Y^2)
V(Y)
Questions & Answers
QUESTION:
Differentiate the moment-generating function in Exercise 3.145 to find \(E(Y)\) and \(E\left(Y^{2}\right)\). Then find \(V(Y)\).
Equation Transcription:
Text Transcription:
E(Y)
E(Y^2)
V(Y)
ANSWER:
Solution:
Step 1:
Step 1 of 3:
Let Y has a binomial distribution with n trials and probability of success p.
We have to find E(Y) and E(by differentiating the moment generating function.
Then we have to find the variance V(Y).