Question: Let (X) have the moment generating function (M_{X}(t)). Show that (a) (M_{(X+a)}(t)=e^{a t} M_{X}(t)). (b) (M_{b X}(t)=M_{X}(b t)). (c) (M_{(X+a) / b}(t)=e^{(a / b) t}
Let \(X\) have the moment generating function \(M_{X}(t)\). Show that
(a) \(M_{(X+a)}(t)=e^{a t} M_{X}(t)\).
(b) \(M_{b X}(t)=M_{X}(b t)\).
(c) \(M_{(X+a) / b}(t)=e^{(a /
b) t} M_{X}(t / b)\).
Step by Step Solution
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock
Study Help