Stats 3U03
M. Min-Oo
Short answers to assignment #2
1.
Do problem 2.8 on page 59 in the textbook.
(a) = 1.1 > 1
extinction probability a =
1
(b) a = 2 ( 6 1)
(c) = 0.29 < 1
(d) If q
p = 1 q.
2.
1
2,
5
7
extinction probability a = 1
then 1 and a = 1.
1
If
STATS 3D03: Mathematical Statistics Fall 2014
Assignment #1 Due date: 4:00 PM on Wed. September 17, 2014
NOTES:
(i) Solution papers to assignments should be dropped by the due date in lockers C72 (A - K)
and C73 (L - Z) located in the ground level of Hami
STATS 3D03 About Midterm Test #2
Date:
Wednesday November 5, 2014
Time:
6:30 to 8:00 pm
Location: Room BSB/136 for students with surname initials A to K
Room BSB/120 for students with surname initials L to Z
BSB = Burke Science Building
Material covered b
S3D03 Formulas Available with the Final Exam
Binomial Distribution: f (x; n, p) = (n ) px (1 p)nx , x = 0, 1, 2, ., n; zero elsewhere;
x
2
X = np, X = np(1 p); MX (t) = (1 p + pet )n .
Negative Binomial Distribution: f (x; r, p) =
X =
r(1p)
,
p
2
X =
r(1p
STATS 3D03: Mathematical Statistics Fall 2014
COURSE OUTLINE
COURSE OBJECTIVES: By the end of the semester, students will have gained the ability to:
Handle competently the calculation of probabilities, means, variances, covariances and correlations
of u
STATS 3D03: Mathematical Statistics Fall 2014
Assignment #1 SOLUTIONS TOTAL = 73
Due date: Wednesday September 17, 2014
8 Problem 1.
Book (7th edition), page 8, #1.2.3.
5 There are 4! = 24 permutations of the n = 4 letters taking all of them (k = 4) at a
STATS 3D03: Mathematical Statistics Fall 2014
Assignment #2 SOLUTIONS TOTAL = 81
Due date: Wednesday October 1, 2014
8 Problem 1.
Book, 7th edition, page 28, #1.4.10.
Box C1 : 7 Verbatim, 3 Control Data
Box C2 : 2 Verbatim, 8 Control Data
1
P (C1 ) = 2 ,
Name: Student Number:
(First Name) (Family Name)
SOLUTlONs
STATS 3D03 Midterm Test 1 Fall 2014
Wednesday October 8, 2014
Time: 90 Minutes
Maximum Mark: 36
Instructor: Dr. Roman ViverosAguilera
This test paper consists of 5 pages and 5 questions. Answer al
STATS 3D03: Mathematical Statistics Fall 2014
Assignment #5 SOLUTIONS TOTAL = 56
Due date: Wednesday November 12, 2014
6 Problem 1.
Book, 7th edition, page 154, #3.2.3.
Relevant random variable:
X = number of typing errors on a randomly selected page.
It
STATS 3D03: Mathematical Statistics Fall 2014
Assignment #3 SOLUTIONS TOTAL = 70
Due date: Wednesday October 15, 2014
9 Problem 1.
Book, 7th edition, page 82, #2.1.1.
Note that the set of joint values of X1 and X2 is SX1 X2 = (0, 1) (0, 1) (i.e. the unit
STATS 3D03: Mathematical Statistics Fall 2014
Assignment #6 SOLUTIONS TOTAL = 72
Due date: Wednesday November 26, 2014
18 Problem 1.
Book, 7th edition, page 212, #4.1.1.
(a)
2 This is a random sample of size n = 20. Frequency table:
Bin
Freq.
Rel.Freq.
[
Name:
Student Number:
(First Name)
(Family Name)
SOLUTIONS
STATS 3D03 Midterm Test 2 Fall 2014
Wednesday November 5, 2014
Time: 90 Minutes
Maximum Mark: 36
Instructor: Dr. Romn Viveros-Aguilera
a
This test paper consists of 5 pages and 5 questions. Answer
Stats 3U03
M. Min-Oo
Short answers to assignment #2
1.
Do problem 2.8 on page 59 in the textbook.
(a) = 1.1 > 1
extinction probability a =
1
(b) a = 2 ( 6 1)
(c) = 0.29 < 1
(d) If q
p = 1 q.
2.
1
2,
5
7
extinction probability a = 1
then 1 and a = 1.
1
If
STATS 3D03 About Midterm Test #1
Date:
Wednesday October 8, 2014
Time:
6:30 to 8:00 pm
Location: Room BSB/136 for students with surname initials A to K
Room BSB/137 for students with surname initials L to Z
BSB = Burke Science Building
Material covered by
STATS 3D03 Final Exam
Date: Monday, December 15, 7:30 pm; Duration: 3 hours.
Aids: McMaster standard calculator Casio fx-991 and a ruler for some informal plotting.
Material covered for Assignments 1 & 2, and examined in Test #1
Book: Sections 1.2 to 1.
Stats 3U03
M. Min-Oo
Short answers to assignment #4
1.
Do problem 5.5 on page 126 in the textbook.
E[Mn+1 | Fn ] =
2.
Xn
i=1 Zi | Xn ]
1
E[
n+1
=
1
X E[Z]
n+1 n
=
1
X
n+1 n
= Mn
Do problem 5.11 on page 126 in the textbook.
2
Xn
| Xn ]
i=1 Zi
2
2 Xn + 2 X
STATS 3D03: Mathematical Statistics Fall 2014
Assignment #2 Due date: 4:00 PM on Wed. October 1, 2014
NOTES:
(i) Solution papers to assignments should be dropped by the due date in lockers C72 (A - K)
and C73 (L - Z) located in the ground level of Hamilto
STATS 3D03: Mathematical Statistics Fall 2014
Assignment #5 Due date: 4:00 PM on Wed. November 12, 2014
NOTES:
(i) Solution papers to assignments should be dropped by the due date in lockers C72 (A - K)
and C73 (L - Z) located in the ground level of Hamil