Extra Homework Assignment
Due date: May 12th, in class (final exam day)
Problem 1
a. Find a recurrence relation for the number of bit strings of length n that do not contain three
consecutive 0s.
b. What are the initial conditions?
c. How many bit strings

CSE 525 Randomized Algorithms & Probabilistic Analysis
Winter 2008
Lecture 10: February 13
Lecturer: James R. Lee
Scribe: Noam Honda
Disclaimer: These notes have not been subjected to the usual scrutiny reserved for formal publications.
They may be distri

Suppose you are a content delivery network.
In a five-minute period, you get a certain number m of requests.
Each needs to be served from one of your n servers.
How to distribute requests to balance the load?
round robin/find the server with lowest load/

Chernoff Bounds
Theme: try to show that it is unlikely a random variable X is far
away from its expectation.
The more you know about X , the better the bound you obtain.
Markovs inequality: use E[X ]
Chebyshevs inequality: use Var [X ]
Chernoff bounds: us

CS 6003 Foundations of Computer Science
Section (INET)
Spring 2016 Syllabus
Basic Information
ur Ozkan
Instructor: Prof. Ozg
(Oz)
Class site: https:/piazza.com/poly/spring2016/cs6003inet/home (password: tabular16)
Contact: Instructors group via Piazza. Y

2
Finite Markov Chains
Author:
Eric Rieders, Department of the Mathematical Sciences, DePaul
University.
Prerequisites: The prerequisites for this chapter are finite probability, matrix algebra, mathematical induction, and sequences. See Sections 2.4, 2.7

Random Walks
Random Walks are used to model situations in which an object moves in a sequence
of steps in randomly chosen directions. Many phenomena can be modeled as a
random walk and we will see several examples in this chapter. Among other things,
well

2
Finite Markov Chains
Author:
Eric Rieders, Department of the Mathematical Sciences, DePaul
University.
Prerequisites: The prerequisites for this chapter are nite probability, matrix algebra, mathematical induction, and sequences. See Sections 2.4, 2.7,