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...

Extracted 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


Extracted 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