Solution Found!
Suppose that Y is a binomial random variable with n > 2
Chapter 3, Problem 55E(choose chapter or problem)
Suppose that is a binomial random variable with \(n>2\) trials and success probability . Use the technique presented in Theorem and the fact that \(E\{(Y-1)(Y-2)\}=E\left(Y^{3}\right)-3 E\left(Y^{2}\right)+2 E(Y)\) to derive \(E\left(Y^{3}\right)\).
Equation Transcription:
Text Transcription:
n>2
E{(Y-1)(Y-2)}=E(Y^3)-3E(Y^2)+2E(Y)
E(Y^3)
Questions & Answers
QUESTION:
Suppose that is a binomial random variable with \(n>2\) trials and success probability . Use the technique presented in Theorem and the fact that \(E\{(Y-1)(Y-2)\}=E\left(Y^{3}\right)-3 E\left(Y^{2}\right)+2 E(Y)\) to derive \(E\left(Y^{3}\right)\).
Equation Transcription:
Text Transcription:
n>2
E{(Y-1)(Y-2)}=E(Y^3)-3E(Y^2)+2E(Y)
E(Y^3)
ANSWER:
Solution:
Step 1 of 3:
Suppose that Y is a binomial random variable with n > 2 trials and success probability p.
Given equality
Here we have to derive .