1
Homework 1 (14 pts + 1 bonus)
due Jan 21
(1 pt. bonus) Q0. Why were the earrings that I wore to class today relevant to today's
lecture
The earrings that I wore are dice (clear 6 sided dice to be specific).
(3 pts.) 1.4. The following table provides a frequency distribution (in thousands) for the
number of rooms in U.S. housing units.
Rooms
1
2
3
4
5
6
7
8+
No. Units
471
1,470
11,715
23,468
24,476
21,327
13,782
15,647
If a U.S. housing unit is selected at random, find the probability that it has
Total number of units, Total = 471 + 1,470 + 11,715 + 23,468 + 24,476 + 21,327 + 13,782
+ 15,647 = 112,356
a) four rooms.
No of units with 4 rooms
total
=
23,468
112,356
=0.209
b) more than four rooms.
No of units with 5 rooms and 6 rooms and 7 rooms and 8 or more rooms
total
=
24,476 + 21,327 + 13,782 + 15,647
112,356
=
75,232
112,356
=0.670
c) one or two rooms
No of units with
1
room
or 2
rooms
total
=
471 + 1,470
112,356
=
1,941
112,356
=
0.017
d) fewer than one room.
Since all housing units have at least one room, this is the empty set,
\
e) one or more rooms.
Since all of the units have one or more rooms, this is the whole sample space or 1.
f) Identify the population under consideration.
The population is the housing units in the U.S.