Assume 2 independent Binomial random variables, Binoт(пх,р) Y~ Binom(пү,р) X~ 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 O p(e' – 1)"x O enx(e'-p) etpnx
Assume 2 independent Binomial random variables, Binoт(пх,р) Y~ Binom(пү,р) X~ 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 O p(e' – 1)"x O enx(e'-p) etpnx
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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
Transcribed Image Text:Assume 2 independent Binomial random variables,
X~ Binoт (пх,р)
Biпom(пу , р)
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
O p(e' – 1)"x
O enx(e-p)
etpnx

Transcribed Image Text:Part 2:
Derive the MGF for X + Y.
O etp(nx+ny)
O (1 – p + pe*)"x+ny
nx-
O (nx + ny)(1 – p+ pe*)
nx+ny
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