Homework 9

1. OK to hand it in Friday.
2. Question 4 is rather easy if you approach it the right way, but very hard if you just apply brute force.

Chapter 6 p303: vector random variables

1. a vector of n random variables. Examples:
   1. arrivals at switch from several sources
   2. defects at each of many places on chip
   3. block of audio or video samples
2. interested in events that are hyper-rectangles in {$R^n$}
   1. P[A]
3. joint cumulative distribution function
4. marginal cdfs
5. joint pmf (for discrete r.v.)
6. marginal pmf
7. conditional pmf
8. independence