- 2 Let X Be A Random Variable With Moment Generating Function Mx F And Let Y Ax B Where A And B Are Constants Then M 1 (18.46 KiB) Viewed 29 times
2. Let X be a random variable with moment generating function Mx (f) and let Y=aX+b, where a and b are constants. Then M
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
2. Let X be a random variable with moment generating function Mx (f) and let Y=aX+b, where a and b are constants. Then M
2. Let X be a random variable with moment generating function Mx (f) and let Y=aX+b, where a and b are constants. Then My(t) = e Mx (at) (you do not have to prove this fact). (a) Use the moment generating function to prove that E(Y)=b+aE(X). [4 Marks] (b) Now let Mx (t)=e³+4² and let Y = (X-3)/4. Find My(t) and use it to find the expectation E(Y) and the variance V (Y). [6 Marks]
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!