would appreciate any help for this. Just confused as to what to say.
So we are given that Zi ~ N(0,1) and we need to state what type of distribution and parameters random variable V will have.
V = (Sum from i=1 to n) * (aiZi + bi), where ai and bi are real constants.
I've tried finding the mean by taking expectations but I get confused with the aiZi part.
I know they're looking for something like V ~ N(Mean, Variance)
What should I do?