HOMEWORK SET 1 (due back in class Tuesday, February 6) Section 1.2 - Problems 1 and 3 Section 1.3 - Problem 1 (and generalize to the case when P(A) = a and P(B) = b) Problem 4 Section 1.8 - Problem 5 Readings (a) Appendix III, especially remarks on interpretation of probability on page 572 (b) Pages 8-15 of chapter 1 Correction: In class, as I was lecturing, I said the empty set is the null event. It should be called the impossible event, since in an experiment, an outcome cannot fall in the empty set. We reserve the term null event for any event to which we have assigned probability zero. The impossible event is a null event. Converse is not true in general, as there may be probability assignments leading to zero probability for some non-empty subsets of the sample space. This happens in the Bertrand chord problem that was discussed in class. DO YOU SEE THIS? HOMEWORK SET 2 (due back in class Tuesday, February 13) Section 1.4 - Problems 2, 5 and 7 Section 1.5 - Problems 2 and 4 Section 1.8 - Problem 35 Readings - section 1.7 on worked examples HOMEWORK SET 3, due back in class on Thursday, February 22 Chapter 2 Section 2.1 Problems 1, 4, 5 Section 2.3 Problem 3 Section 2.7 Problem 5 Read sections 2.1, 2.3, 2.4 HOMEWORK SET 4 due back in class Thursday March 8 Section 2.3 - Problem 5 Section 2.4 - Problem 1(a) and 1(c) Section 2.7 - Problem 4(a) and 4(d) Section 3.1 - Problem 2 Read sections 3.1 - 3.3 in chapter 3 HOMEWORK SET 5 due in class on Thursday March 15. Section 3.1 Problem 3 Section 3.2 Problems 1, 2, and 3 Section 3.3 Problem 2 Section 3.11 Problem 7 HOMEWORK SET 6 due in class on TUESDAY April 3 Section 3.4 Problem 3 Section 3.5 Problem 1 Section 3.6 Problems 1, 2, 4 Section 3.7 Problems 1(d) and 1(e) Section 3.8 Problems 1 and 3 Section 3.11 Problems 13, 14, 16, 21 These will help reinforce the concepts you need to know for the mid-term exam on April 5. HOMEWORK SET 7 due back in class Thursday, April 19 Section 4.1 Exercises 1(a) 2 4 Section 4.2 Exercises 1 3(a) Section 4.3 Exercise 2 Section 4.4 Exercises 3 5 Section 4.5 Exercise 4 Section 4.6 Exercises 4(a) 5 Reading Assignment - all of sections 4.1 through 4.6 HOMEWORK SET 8 due in class on Thursday, April 26 Section 4.7 Exercises 1, 2, 4, 5, 10 HOMEWORK SET 9 due in class on Thursday, May 10. Section 4.8 Problem 7(b) 7(c) Section 4.9 Problem 4 Section 5.1 Problem 3, Problem 6 Section 5.8 Problem 11 READINGS section 4.10, 5.7, 5.8, (closely) and 5.10 (lightly) READ Section 6.1 before Tuesday May 8 class.