Homework #1

1. a) All people who are right-handed or ambidextrous.
b) All people who are right-handed or all people who are left-handed and normal.

c) All people who are right-handed, ambidextrous, or normal.
d) All normal females who are left-handed, all color-blind females who are either right-handed or ambidextrous, and all males.

e) All people who are right-handed, ambidextrous, female, or color-blind.

2. a) finite

b) countably infinite

c) uncountably infinite

d) finite

e) finite

f) countably infinite

3.a. All males and all females.

b. All registered Republicans and all registered Democrats.

c. All people born before 1960 and all people born after 1940.

d. All people who own a cat and all people who own a dog.

4, 6, 9, 10, 12, 14, 15. see answer sheet (page 2)

18. There could be a conditional probability involved with this situation. Let’s assume that there are two other mutually exclusive groups of people in our set: huskies and cougars. According to the data, given that one is a husky, a lion-tamer is 90% likely to be killed and a lumberjack is 10% likely to be killed. Huskies may only make up a small subset of our entire universal set, and of because there happens to be a much larger group of cougars who are much more likely to be killed by being a lumberjack, the statistics report that lumberjacks are more likely to be killed of those in the universal set. Unfortunately for Al, because he is a husky, there is a much greater chance of him being killed if he serves as a lumberjack.

21. see answer sheet (page 2)