4 Pages
Unlock Document

Wilfrid Laurier University
Adam Metzler

MA340 Quiz: July 25-26, 2013. Name: Student number: Instructions: Due in my o▯ce by 4:00 PM on Friday, July 26. Slip it under the door if I am not in. Please don’t hand in the ▯rst draft of your answer - i.e. solve the problems and then write up clear, easy-to-follow solutions in the space provided. 1. Let X have probability mass function x▯1 f(x) = (:3)(:7) ; x = 1;2;3;::: : Derive the moment generating function of X. Be sure to state (atd justify) its domain. Hint: At some point you’re going to want to factor out (:3)e from each term in a series. 2. Suppose that X has moment generating function (:9)e M (t) = ; t < ln(10) : X 1 ▯ (:1)e (a) Use M X (or a suitable transformation oX M ) to ▯nd the mean and variance of X. (b) Use M X (or a suitable transformation oX M ) to ▯nd the mean and variance of Y = e . (c) Use MX (or a suitable transformation oX M ) to ▯nd the moment generating function of Z = 4X ▯ 1. 3. Suppose I play three rounds of a certain game, and that I have a 75% chance of winning any round (the outcome of any given round has
More Less

Related notes for MA340

Log In


Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.