M 362K, Spring 03, Smith

## Assignment for Wednesday, September 3:

1. Read the first paragraph of the preface (p. vi)

2. Read pp. 24 - 26 (stopping before last paragraph)

- You may omit Example 2 and references to it in Section 2.2.
- The textbook uses "experiment" where I would say "process."

- The textbook uses set notation. For example, in example 4 at the top
of p. 26, the equation

S = { (i,j): i,j = 1, 2, 3, 4, 5, 6}

means,

"S is the set of all pairs (i,j) such that i and j range over
the numbers 1, 2, 3, 4, 5, 6."

If you are not already familiar with set notation, I strongly
recommend that you spend some time studying the sections on set theory in
the book Epp, *Discrete Mathematics with Applications* mentioned in
the first day handout under prerequisites. (Note: Some people write S = {
(i,j)| i,j = 1, 2, 3, 4, 5, 6} instead of S = { (i,j): i,j = 1, 2, 3, 4,
5, 6}.)

- Terminology to learn and understand:
*outcome*, *event*,
*union*, *intersection*, *mutually exclusive*, *complement*,
*contained in*, *Venn diagram*.
- Notation to learn: notation for union, intersection, contained in,
complement. (Note both notations for intersection. Also, the definition and
symbol for "contained in" may be slightly different from what you might have
seen in other contexts.)

3. Read p. 122 and think about how this definition of random variable fits
in with what was discussed on the handout read for Friday.

4. Try as practice problems: #2, 3 on p. 53and #6 on p. 59.