Applied Probability Models with Optimization Applications

by Sheldon Ross.

Introduction
This book is one of the best probability books written. The explanations are very clear while at the same time the material covered is more advanced and interesting that what is commonly presented in undergraduate textbooks on probability. The problems are a real treasure, in that they are very interesting and challenging.

• The Most Recent Solution Manual

A few people have written with questions/clarifications about the solutions posted here. With every comment I try to improve the presentation of this material. I really appreciate any feedback I receive. If anything is unclear or could be improved I would love to hear about it since I would like these notes to be beneficial to as large an audience as possible.

Chapter 1 (Introduction to Stochastic Processes):

• chap_1_prob_6.m (marking chips in an urn)
  
• chap_1_prob_7.m (trying keys at random)