A First Course In Probability: Seventh Edition

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. I currently am working (Spring 2007) with a few students who are taking a MIT course 18.440 using this book. As they work through the book, I work with them writing solutions. Because of this, check back often for solution manual updates since material from entire book will be covered by summer of 2007.

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 (Combinatorial Analysis):

• chap_1_st_13.m (the calculations for this problem)
  
Chapter 2 (Axioms of Probability):

• chap_2_prob_26.m (calculations on the probability we win at craps)
  
• chap_2_prob_27.m (calculations A will draw a red ball first)
  
• chap_2_prob_45.m (verification of the probabilities)
  
Chapter 3 (Conditional Probability and Independence):

• chap_3_prob_3.m (simple calculations)
  
• chap_3_prob_13.m (calculations for this problem)
  
• chap_3_prob_14.m (calculations for this problem)
  
• chap_3_prob_28.m (calculating hands of cards)
  
• chap_3_prob_29.m (calculations for this problem)
  
• chap_3_prob_32.m (calculations for this problem)
  
• chap_3_prob_36.m (calculations for this problem)
  
• chap_3_prob_41.m (calculations for this problem)
  
• chap_3_prob_71.m (calculations for this problem)
  
• chap_3_prob_79.py (calculations for this problem)
  
• chap_3_prob_82.nb (calculations for this problem)
  
• chap_3_prob_85.py (calculations for this problem)
  
Chapter 4 (Random Variables):

• chap_4_prob_4.m (some simple calculations for this problem)
  
• chap_4_prob_15.m (numerically evaluates some sums)
  
• chap_4_prob_22.nb (mean of the number of games to played to win by i)
  
• chap_4_prob_33.m (some calculations for this problem)
  
• chap_4_prob_36.nb (variance of the number of games played to win by i)
  
• chap_4_prob_46.m (some calculations for this problem)
  
• chap_4_prob_57.nb (evaluation of the Poisson distribution for this problem)
  
Chapter 5 (Continuous Random Variables):

• chap_5_prob_4.m (calculations for this problem)
  
• chap_5_prob_11.m (the location of the integration points for problem 11)
  
• chap_5_prob_21.m (standard normal calculations for this problem)
  
• chap_5_prob_22.m (Matlab calculations for this problem)
  
• chap_5_prob_28.m (Matlab calculations for this problem)
  
• chap_5_prob_30.m (simple calculations for this problem)
  
• chap_5_prob_38.m (the location of the integration point for problem 38)
  
• chap_5_te_27.nb (the second derivative of the beta distribution)
  
• chap_5_st_10.m (Matlab calculations for this problem)
  
• chap_5_st_11.m (Matlab calculations for this problem)
  
Chapter 6 (Jointly Distributed Random Variables):

• chap_6_prob_14.nb (the some algebra for this problem)
  
• chap_6_prob_27.m (produces plots of the correlation integrands)
  
• chap_6_prob_32.m (Matlab calculations for this problem)
  
Chapter 7 (Properties of Expectation):

• chap_7_prob_48.m (Matlab calculations for this problem)
  
• chap_7_prob_68.m (Some Matlab calculations for this problem)
  
Chapter 8 (Limit Theorems):

• chap_8_prob_3.m (the simple Matlab calculations for this problem)
  
• chap_8_prob_4.m (the simple Matlab calculations for this problem)
  
• chap_8_prob_5.m (the simple Matlab calculations for this problem)
  
Chapter 9 (Additional Topics in Probability):

• chap_9_prob_2.m (simple Matlab calculations for this problem)
  
• chap_9_prob_3.m (Matlab calculations for this problem)