10 mins: MGF of DRV -Definition and Example problems
20 mins: MGF of CRV -Definition and Example problems
10 mins: Discussion and Summary
https://docs.google.com/forms/d/e/1FAIpQLSeTIp4qr3_7adVVS9TQZw2DWLldLitCydfLcJZrzFg7MGWnAA/viewform?usp=header
A random variable XXX has the MGF:
MX(t)=e5t+8t2M_X(t) = e^{5t + 8t^2}MX(t)=e5t+8t2
(i) Find E[X]E[X]E[X] and E[X2]E[X^2]E[X2] using derivatives of the MGF.
(ii) Hence, determine Var(X)\text{Var}(X)Var(X).