ECSE-2500, Engineering Probability, Spring 2010, Rensselaer Polytechnic Institute

# Lecture 23

# Homework 9

- OK to hand it in Friday.
- 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

- a vector of
*n*random variables. Examples:- arrivals at switch from several sources
- defects at each of many places on chip
- block of audio or video samples

- interested in events that are hyper-rectangles in {$R^n$}
- P[A]

- joint cumulative distribution function
- marginal cdfs
- joint pmf (for discrete r.v.)
- marginal pmf
- conditional pmf
- independence