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Assume 2 independent Binomial random variables, X- Binom(nx , P) Y ~ Binom(ny , P) Part 1: Derive the MGF for X. Hint 1: if you work on the Binomial pmf, use the Binomial Theorem

Assume 2 independent Binomial random variables, X- Binom(nx , P) Y ~ Binom(ny , P) Part 1: Derive the MGF for X. Hint 1: if you work on the Binomial pmf, use the Binomial Theorem

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Assume 2 independent Binomial random variables, X ~ Binom(nx,p) Y ~ Binom(ny ,p) Part 1: Derive the MGF for X. Hint 1: if you work on the Binomial pmf, use the Binomial Theorem Hint2: do you notice any connection to the previous problem? O (1 – p+ pe*)"x Xu O enx(e*-p) O p(e – 1)"x etpnx
Transcribed Image Text:Assume 2 independent Binomial random variables, X ~ Binom(nx,p) Y ~ Binom(ny ,p) Part 1: Derive the MGF for X. Hint 1: if you work on the Binomial pmf, use the Binomial Theorem Hint2: do you notice any connection to the previous problem? O (1 – p+ pe*)"x Xu O enx(e*-p) O p(e – 1)"x etpnx
Assume 2 independent Binomial random variables, X~ Binom(пҳх,р) Y ~ Binom(ny , p) Part 2: Derive the MGF for X + Y. O etp(nx+ny) O (nx + ny)(1 – p + pe') (1 – p + pe* )"x+ny nx- O (pe* – 1)"x+ny
Transcribed Image Text:Assume 2 independent Binomial random variables, X~ Binom(пҳх,р) Y ~ Binom(ny , p) Part 2: Derive the MGF for X + Y. O etp(nx+ny) O (nx + ny)(1 – p + pe') (1 – p + pe* )"x+ny nx- O (pe* – 1)"x+ny
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