University of Ottawa
Department of Economics
ECO 3150 - Midterm Number 1
Question 1 : A certain grade 12 mathematical Literacy class wrote a test on probability. These were the
results.
15 80 75
77
70
E003150
Introduction to Probability and Statistics
University of Ottawa
David Gray ' Fall 2014
First Formal Assignment
Carefully prepare written responses to the following questions. The exposition of
ECO3150 - Introduction to Probability and Statistics
University of Ottawa
David Gray
Fall 2014
Second formal assignment
Carefully prepare written responses to the following questions. This entails not
ECO3150 - Introduction to Probability and Statistics
University of Ottawa
David Gray
Fall 2015
Second Midterm Examination
There are two parts of this examination: one consisting of problems, and one
c
ECO3150
Introduction to Probability and Statistics
David Gray
Fall 2014
There are two parts to this examination one with written questions and one with
problems to solve. There are a total of 100 poin
University of Ottawa
Department of Economics
ECO : 3150
Review exercises to prepare for the nal exam :
Part I
Midterm 2
Question 1
1000 perfects coins are tossed.
1. Find the probability that the numb
5.3 Problems
5.6
5.7
5.8
5.9
5.10
5.11
'Solve the following problems by using the binomial formula.
5.3 BINOMIAL DISTRIBUTION 171
a. Ifn = 4 andp = 0.10, nd P(x = 3).
b. If n = 7 andp = 0.80, nd P
CHAPTER 4
Probability
Multiple-Choice Questions
QUESTIONS 1 THROUGH 11 ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice. Let A be the event that you observe an even number. Let
Statistics for
Business and Economics
8th Edition
Chapter 6
Sampling and
Sampling Distributions
ECO3150 OU
Ch. 6-1
Chapter Goals
After completing this chapter, you should be able to:
Describe a simpl
Solutions to formal problem set # 3
a) This is a very discrete random variable, as there are only three potential outcomes. In order for a
random variable to be continuous, there has to be an uncoun
Question # 1
X
0
1
Y
marg. P (X)
E (X)
E (Y)
COV (X,Y)
1.6
0.4
-0.24
1
0
0.4
0.4
2 marg P (Y)
0.6
0.6
0
0.4
0.6
Var (X)
Var (Y)
corr.
coeff (X,Y)
f) They are not statistically
independent. Instead, th
#1
brokerage house
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
100 transactions 500 transactions 100 transactions sorted
30
29.95
24.99
10.99
54
24.95
17
5
55
29.95
12.95
9.95
49.95
14.95
35
19.75
PART A - the breakdowns themselves
# of breakdowns
probability
# of breakdowns* probability
0
0.1
0
1
0.26
0.26
2
0.42
0.84
3
0.16
0.48
4
0.06
0.24
E (# of breakdowns)
1.82
Note that the cost of break
ECO3150 - Introduction to Probability and Statistics
University of Ottawa
David Gray
Fall 2014
Second Midterm Examination
There are two parts of this examination: one consisting of problems, and one
c
Question # 1
X
0
1
Y
marg. P (X)
E (X)
E (Y)
COV (X,Y)
1.6
0.4
-0.24
1
0
0.4
0.4
2 marg P (Y)
0.6
0.6
0
0.4
0.6
Var (X)
Var (Y)
corr.
coeff (X,Y)
f) They are not statistically
independent. Instead, th
ECO3150
2014
Fall
David Gray
Solutions to first midterm examination
For questions # 1 through 5, see the excel file.
# 6: This question was taken from the exercises in the textbook. The answer is post
Q:1
brokerage housassisted tr online transaction
a
9.95
5
b
12.95
7
c
17
9.95
d
17
10.55
e
24
10.99
f
24.99
12.95
g
25
14
h
29.95
14.95
i
30
14.95
j
35
15
k
35
17.95
l
39
19.75
m
39.95
19.95
n
40
19.9
state of demand
medium scale
X
f (X)
50
0.2
weak
average
high
a)
150
200
145
E (X)
Var (X)
Y
f (Y)
0
0.2
100
300
0.5
0.3
140
E (Y)
2725
b)
0.5
0.3
grand scale
The expected profit is a bit higher under
David Gray
Fall 2014
Third Formal Assignment
Carefully prepare written responses to the following questions. The exposition of
your solutions comprises an important part of this exercise. You can cert
#1
brokerage house
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
100 transactions 500 transactions 100 transactions sorted
30
29.95
24.99
10.99
54
24.95
17
5
55
29.95
12.95
9.95
49.95
14.95
35
19.75
PART A - the breakdowns themselves
# of breakdowns
probability
# of breakdowns* probability
0
0.1
0
1
0.26
0.26
2
0.42
0.84
3
0.16
0.48
4
0.06
0.24
E (# of breakdowns)
1.82
Note that the cost of break
ECO3150
Introduction to Probability and Statistics
University of Ottawa
David Gray
Fall 2014
First midterm examination
There are two parts of this examination: one consisting of problems, and one
cons
Chapter 1 objective
1. Explain how decisions are often make based on incomplete information
Ex, average income of ottawaU students in the summer of 2016. The number of students is
25000. Take a random
STATISTICS AND PROBABILITY
Table des matires
1 Introduction to statistics, charts and graph
2
2 Descriptive statistics
3
3 Probability
4
4 Discrete distributions
4.1 Denition and description of
4.2 Bi
Chapitre 1
Sampling and Sampling
distributions
1.1
Sampling
Learning objective of this chapter is to understand the sampling distributions of
two statistics. The mean and the proportion.
Describe the
University of Ottawa
Department of Economics
Review for the nal : answers
Question 1
Assume you have the following data set.
52 48 36
62
51
51 48 64
39
49
1) Find the sample mean and the sample standa