Homework 6, ECE302, Spring 2013, Prof. Boutin
Due in class, Friday March 29, 2013
As usual, homework 6 consists in handing in the solutions of the exercises that were assigned after each lecture. Note that, for the practice problems posted on Rhea's, the only feedback you will get are the TA's and Instructor's comments to the solutions written by students. In particular, we will not provide any "official solutions" to these problems; you will only get official solutions for the textbook problems.
Hand in a hard copy of your solutions in class. Make sure to include a cover page and to staple all the pages together. Write legibly and clearly. Put the problems in order. Do not write on the back of the pages. Do not use paper torn out of a spiral book. Thank you very much.
List of Questions:
- Compute the probability that a meeting will occur
- Find the conditional probability density function
- Find the conditional probability density function (again)
- Find the conditional probability density function (conditioned on an event this time)
- Determine if X and Y independent from their joint density
- Recover the pmf corresponding to this characteristic function
- Obtain the characteristic function of an exponential random variable
- pdf of Y=aX+b
- Various Questions about a 2D Gaussian
- Problems from the textbook
- 9.2, 9.3, 9.4, 9.5
Questions/comments/Discussion=
Sample solutions for 9.2, 9.3, 9.4, 9.5 in the textbook can be downloaded here.
- Post question/comment here.
- Post question/comment here,