Assignment #17

Due November 9^th

First things first: The problem number 9a in exercise set 4.1 is graded correctly. The relation x ρ y « x is at least as tall as y is not anti-symmetric. Their heights are equal but the set is the set of people not the set of heights. Thus, the relation that x is at least as tall as y (person x is at least as tall as person y), and the relation that y is at least as tall as x (person y is at least as tall as person x) can be true but their truth (that these two people have this relation) does make these two people equal. Sorry for not seeing this clearly in class – even when Amy pointed it out.

Second: I promised you the solution to problem 53 from exercise set 3.5

There are 43 red balls; 27 green balls; and 8 blue balls for a total of 78 balls. Therefore the probability of selecting a red ball is 43/78; the probability of selecting a green ball is 27/78; and the probability of selecting a blue ball is 8/78. This makes the expected value in dollars

( 3*43 + 6* 27 + 10*8)/78 or (129 + 162 + 80) /78 or $371/78 or

≈$4.75

Third: In reviewing the first exam it appears that there were questions from: Sections:

1.1

1.2

1.3

1.4

and

3.1

3.2

3.3

3.4

Since then we have covered:

2.1

2.2

2.4

and

3.5

3.6

4.1

4.2

4.4.

So this second exam will focus on those sections.

A long homework assignment is on the next page

page 312 – Exercises 4.4

1

pages 276-277 Exercises 4.2

3

5

8

page 263-4 Exercises 4.1

20a

21

25

37

page 241 Exercises 3.6

1d

3

page 234 Exercises 3.5

41

46

Exercises 2.1 page 92

12

38

52

Exercises 2.2 page 105

14

31

42

Exercises 2.4 page 139

8

27