For standard normal form variable Z~N(0,1).

What is the Moment Generating Moment of M_{z}(t) of Z.

Defining X=u+oZ for real numbers u,r with r>0. what is the distribution of X?

Use the Moment Generating Function M_{z}(t) to find the moment generating function M(t) of X.

Can anyone help with any of these question?