STAT2001 Assignment 1 (2009) Problems.doc Page 1 of 2
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
PRINCIPLES OF MATHEMATICAL STATISTICS
(STAT2001/6039)
Assignment 1
Your solutions to this assignment should be placed in th
STAT2001 Assignment 2 (2009) Problems.doc Page 1 of 2
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
PRINCIPLES OF MATHEMATICAL STATISTICS
(STAT2001/6039)
Assignment 2
Your solutions to this assignment should be placed in th
STAT2001/8039 - Mid-Semester Examination - August 2006 - Page 1 of 2
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Mid-Semester Examination August 2006
Time allowed: 60 minutes
Reading time: 5 minutes
Permit
Page 1 of 2
STAT2001/8039 Mid-Semester Examination August 2006 Solutions
Solution to Problem 1
(a)
Let "0" stand for a 1, 2, 3 or 4 coming up. Then the probability that the die
will be rolled less than three times is
2
2
1 4 1 1 1
+ + = 1 .
P (6) + P(0
STAT2001_MSEXAM_SOL_S1_02 Page 1 of 2
STAT2001 Mid-Semester Examination May 2002 Solutions
Problem 1
(a)
Let Y be the number of children in the selected household.
Then: EY = 0 + 1(17/51) + 2(7/51) + 3(5/51) = 0.90196 (= 46/51)
EY 2 = 0 + 12 (17 / 51) + 2
Page 1 of 3
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Mid-Semester Examination April 2004
Time allowed: 60 minutes
Reading time: 5 minutes
Permitted materials: No restrictions
Attempt all 5 problems and
STAT2001/8039 - Mid-Semester Examination - April 2005 - Page 1 of 2
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Mid-Semester Examination April 2005
Time allowed: 60 minutes
Reading time: 5 minutes
Permitte
STAT2001/6039 - Mid-Semester Examination - September 2008 - Page 1 of 2
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/6039)
Mid-Semester Examination September 2008
Time allowed: 60 minutes
Reading time: 5 minutes
STAT2001 Midsem Exam 2005 April Sols.doc Page 1 of 1
STAT2001/8039 Mid-Semester Examination April 2005 Solutions
Solution to Problem 1
(a)
7/12.
(b)
6/11.
Solution to Problem 2
P (Y 3, Y 2)
c / 32 + c / 33
1/ 9 + 1/ 27
p=
=
=
(a)
2
3
4
P (Y 2)
c / 3 + c /
STAT2001 Midsem Exam 2008 September Solutions.doc - Page 1 of 2
STAT2001/6039 Mid-Semester Exam September 2008 Solutions
Solution to Problem 1
(a)
Let Y be the number of persons in the sample who have criplea. Then
Y ~ Hyp( N , r , n) , where N = 35600000
STAT2001/6039 - Mid-Semester Examination - September 2007 - Page 1 of 2
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/6039)
Mid-Semester Examination September 2007
Time allowed: 60 minutes
Reading time: 5 minutes
STAT2001 Assignment 1 (2009) Solutions.doc Page 1 of 5
STAT2001/6039 Assignment 1 Solutions (2009)
Problem 1
(a) Let Ai be the event that the drawn cards contain i Aces, and B the
event that they contain at least 1 Ace. Then
P( B) = P( A1 A2 A3 A4 ) = P(
STAT2001 Assignment 2 (2009) Solutions.doc Page 1 of 6
STAT2001/6039 Assignment 2 Solutions (2009)
y
Problem 1
1
y
dt = 1 + . Thus F(y) = 1/2 at y = -3, 0.
6
6
6
(a) For -6 < y < -3, F( y ) =
y
1
12
For y > 0, F( y ) = + 2e kt dt = + (e ky 1).
20
2k
y 6
Page 1 of 3
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Mid-Semester Examination May 2003
Time allowed: 60 minutes
Reading time: 5 minutes
Permitted materials: No restrictions
Attempt all 5 problems and sh
Page 1 of 2
SCHOOL OF FINANCE AND APPLIED STATISTICS
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Mid-Semester Examination May 2002
Time allowed: 60 minutes
Reading time: 5 minutes
Permitted materials: No restrictions
Attempt all 10 parts of the 3
STAT2001 Final Exam 2006 November Solutions.doc Page 1 of 6
STAT2001/8039 Final Exam November 2006 Solutions
Solution to Problem 1
(a)
Let 0 denote a non-six on the first roll, let 006 denote two non-sixes followed
by a six, etc. Then the probability of t
STAT2001/8039 - Final Exam - June 2001 - Solutions
Problem 1
For the purpose of solving this problem, 6's may be treated as 0's.
With this understood, let Y be the number coming up on a single roll of the die.
Then Y has mean = (0 + 1 + 2 + 3 + 4 + 5) / 6
THE AUSTRALIAN NATIONAL UNIVERSITY
SCHOOL OF FINANCE AND APPLIED STATISTICS
Final Examination June 2004
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Duration: 3 hours
Reading time: 15 minutes
Permitted materials: No restrictions
Attempt any 9 of t
Introductory Mathematical Statistics (STAT2001/8039) Page 1 of 3
THE AUSTRALIAN NATIONAL UNIVERSITY
SCHOOL OF FINANCE AND APPLIED STATISTICS
Final Examination June 2005
INTRODUCTORY MATHEMATICAL STATISTICS (STAT2001)
PRINCIPLES OF MATHEMATICAL STATISTICS
Page 1 of 7
STAT2001/8039 Final Exam July 2002 Solutions
Problem 1
1 = EY = k / 2 , m1 = y .
Then, 1 = m1 k / 2 = y k 2 = 4 y 2 .
So the MOME of t is t = 4 y 2 = 4(3.92) 2 = 61.5.
k 2 k 2
2
2
+ , where n = 25.
Now Et = 4 EY = 4cfw_VarY + ( EY ) = 4
THE AUSTRALIAN NATIONAL UNIVERSITY
SCHOOL OF FINANCE AND APPLIED STATISTICS
Final Examination June 2003
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Duration: 3 hours
Reading time: 15 minutes
Permitted materials: No restrictions
Attempt only the f
THE AUSTRALIAN NATIONAL UNIVERSITY
SCHOOL OF FINANCE AND APPLIED STATISTICS
Final Examination - June 2001
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Duration: 3 hours
Reading time: 15 minutes
Permitted materials: No restrictions
Attempt all 29 p
THE AUSTRALIAN NATIONAL UNIVERSITY
SCHOOL OF FINANCE AND APPLIED STATISTICS
Final Examination July 2002
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001/8039)
Duration: 3 hours
Reading time: 15 minutes
Permitted materials: No restrictions
Attempt any 10 (on
THE AUSTRALIAN NATIONAL UNIVERSITY
SCHOOL OF FINANCE AND APPLIED STATISTICS
Second Semester Final Examination, November 2006
INTRODUCTORY MATHEMATICAL STATISTICS
(STAT2001)
PRINCIPLES OF MATHEMATICAL STATISTICS
(STAT8039)
Study Period: 15 minutes
Time All