2010F_FinalExam - Name: _ RIN #: _ Final Exam Engineering...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Name: __________________ RIN #: __________________ Final Exam Engineering Probability ECSE-2500 December 20, 2010 Points Points Earned Grader 1 15 2 16 3 25 4 19 5 15 6 10 Total 100 Notes : Show all work. You have up to 180 minutes to take this exam. You are allowed three (3) sides of 8.5 x 11 inch piece of paper with anything written on them. You may use a calculator, but no programmable features. No communication devices of any kind. All cell phones off. This exam has 10 pages including this cover page.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 1. (15 points) Let X be Gaussian with mean 2 and variance 25. Let 35 . YX =+ 1.a. (5 points) Compute the mean of Y . 1.b. (5 points) Compute the variance of Y . 1.c. (5 points) Give the PDF of Y . Justify your answer.
Background image of page 2
3 2.a. (8 points) Let X be a continuous uniform RV on the interval from -2 to 2. Compute the characteristic function of X directly from the definition. Simplify your answer and show all your calculations. 2.b. (8 points) Now let X be a RV with characteristic function ( ) ( ) 2 12 e x p 2 X j ω ωπ Φ= + Compute the mean of X directly from its characteristic function. Show your work.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 10

2010F_FinalExam - Name: _ RIN #: _ Final Exam Engineering...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online