M 362K, Spring 03, Smith

## Assignment for Friday, September 12:

#### To Hand In:

-> *Be sure to review and follow the Guidelines for Written Homework
and the Sample Solutions and Grades in writing up your homework to hand in.*

I. #8 and 13 from the handout Calculus Review Problems.

II. Two dice are thrown. Throughout this problem, use the notation (a, b)
to mean the outcome where a is up on the first die and b is up on the second
die. Let E be the event that the sum of the dice is odd; let F be the event
that at least one of the dice lands on 1; and let G be the event that the
sum of the dice is 5.

- Make an
*organized* list of all outcomes, using the notation above.
- For each of the events EF, E U F, FG, EF
^{c}, and
EFG, do each of the following:

(i) List all outcomes in the event.

(ii) Describe the event entirely in words, without using the sumbols E, F,
or G.

III. p. 54 #6 and 11. (Note: The answers to #11 are in the back of the book.
Your grade on this problem will be based on the correctness of your solution
process -- that is, of the reasoning you explain on your paper -- not on
the final answer.)