Statistics 351.001 Fall 2008
Final Exam Information
The date and location of the nal exam are
Friday, December 12, 2008, 9:00 a.m. 12:00 p.m.
Education Building, room 230 (ED 230)
Please ensure that you know where the location of the test room is and th
Statistics 351 Quiz #2 September 18, 2009
This quiz consists of 6 multiple choice questions. Circle the correct answer; you do not need
to justify your answers.
1
This exam is closed-book, except that one 8 2 11 double-sided page of handwritten notes is
p
Statistics 351 Midterm #1 October 18, 2006
This exam has 4 problems and 5 numbered pages.
You have 50 minutes to complete this exam. Please read all instructions carefully, and check
your answers. Show all work neatly and in order, and clearly indicate yo
Make sure that this examination has 11 numbered pages
University of Regina
Department of Mathematics & Statistics
Final Examination
200630
(December 13, 2006)
Statistics 351
Probability I
Name:
Student Number:
Instructor: Michael Kozdron
Time: 3 hours
Rea
Make sure that this examination has 11 numbered pages
University of Regina
Department of Mathematics & Statistics
Final Examination
200730
(December 14, 2007)
Statistics 351
Probability I
Name:
Student Number:
Instructor: Michael Kozdron
Time: 3 hours
Rea
Statistics 351Probability I
Fall 2007 (200730)
Final Exam Solutions
Instructor: Michael Kozdron
1. (a) We see that fX,Y (x, y ) 0 for all x, y , and that
1
y
fX,Y (x, y ) dx dy =
0
1
1
4y 3 dy = y 4
8xy dx dy =
0
0
= 1.
0
Thus, fX,Y is a legitimate densit
Statistics 351Probability I
Fall 2006 (200630)
Final Exam Solutions
Instructor: Michael Kozdron
1. (a) Solving for X and Y gives X = U V and Y = V U V , so that the Jacobian of this
transformation is
x
x
u
v
v
u
J=
=
= v vu + vu = v.
y
y
v 1 u
u
v
By Theo
Stat 351 Fall 2007
Assignment #8
This assignment is due at the beginning of class on Wednesday, November 14, 2007. You do not
need to submit any problems for grading.
1.
Exercise 7.1, page 134
2.
Problem #9, page 144
Problem #10, page 145
Problem #11,
Stat 351 Fall 2007
Assignment #7
This assignment is due at the beginning of class on Friday, November 9, 2007. You must submit
solutions to all problems. As indicated on the course outline, solutions will be graded for both
content and clarity of expositi
Stat 351 Fall 2007
Assignment #5
This assignment is due at the beginning of class on Friday, October 5, 2007. You must submit
solutions to all problems. As indicated on the course outline, solutions will be graded for both
content and clarity of expositio
Stat 351 Fall 2007
Assignment #1
This assignment is due at the beginning of class on Monday, September 10, 2007. You must submit
all problems that are marked with an asterix (*).
1.
* Send me an email to say Hello. If I have never taught you before, tell
Statistics 351 Midterm #2 November 17, 2006
This exam is worth 40 points.
There are 5 problems on 5 numbered pages. You may attempt all ve and your
four highest scores will be taken as your mark. You might want to read all ve
questions before you begin.
Y
Statistics 351 Fall 2006 (Kozdron) Midterm #1 Solutions
1. (a) By denition, fX |Y =y (x) is given by
fX |Y =y (x) =
We being by calculating
4 y 2
fY (y ) =
0
fX,Y (x, y )
.
fY (y )
1
1
dx =
4 y2
for 0 < y < 2. Therefore,
fX |Y =y (x) =
1
1
4 y2
1
=
4 y2
,
Statistics 351 Fall 2006 (Kozdron) Midterm #2 Solutions
1. (a) Recall that a square matrix is strictly positive denite if and only if the determinants
of all of its upper block diagonal matrices are strictly positive. Since
2 2
2 3
=
we see that det( 1 )
Statistics 351 Quiz #1 September 16, 2009
This quiz consists of 6 multiple choice questions. Circle the correct answer; you do not need
to justify your answers.
1
This exam is closed-book, except that one 8 2 11 double-sided page of handwritten notes is
p
Statistics 351 Fall 2009 Quiz #1 Solutions
1.
Let C be the event that an automobile owner purchases collision coverage and let D be the
event that an automobile owner purchases disability coverage. We know that P (C ) = 2P (D) by
(i), we know that P (C D)
Statistics 351 Fall 2009 Quiz #2 Solutions
1.
Let X denote the colour of the ball drawn from the rst urn, and let Y denote the colour of
the ball drawn from the second urn. Let b denote the unknown number of blue balls in the second
urn. We nd
0.44 = P (X
Statistics 351 Fall 2009 Midterm #2 Solutions
1. Since X1 , X2 , and X3 are independent and normally distributed, we conclude that
if we set X = (X1 , X2 , X3 ) , then X is multivariate normal with mean vector and
covariance matrix where
0
100
= 0 and =
Statistics 351 Midterm #2 November 20, 2009
This exam has 5 problems on 5 numbered pages and is worth a total of 50 points.
You have 50 minutes to complete this exam. Please read all instructions carefully, and check
your answers. Show all work neatly and
Make sure that this examination has 12 numbered pages
University of Regina
Department of Mathematics & Statistics
Final Examination
200930
(December 16, 2009)
Statistics 351
Intermediate Probability
Name:
Student Number:
Instructor: Michael Kozdron
Time:
Statistics 351 Midterm #1 October 5, 2009
This exam has 4 problems on 4 numbered pages and is worth a total of 50 points.
You have 50 minutes to complete this exam. Please read all instructions carefully, and check
your answers. Show all work neatly and i
Statistics 351Intermediate Probability
Fall 2009 (200930)
Final Exam Solutions
Instructor: Michael Kozdron
1. (a) We see that fX,Y (x, y ) 0 for all x, y R, and that
1
y
fX,Y (x, y ) dx dy =
4
15x y dx dy =
0
1
1
2
0
5y dy = y
5
0
= 1.
0
Thus, fX,Y is a l
Statistics 351 Fall 2009 Midterm #1 Solutions
1. (a) We nd
y
b
1
=
c
b
(y x) dx dy =
a
1
=
2
a
b
a
x2
yx
2
1
(y a) dy = (y a)3
6
b
b
y2
dy =
a
x= a
y2
2
ay
a2
2
dy
1
= (b a)3
6
2
a
x= y
a
so that
c=
6
.
(b a)3
1. (b) By denition,
b
fX (x) =
x
1
c(y x)
Make sure that this examination has 13 numbered pages
University of Regina
Department of Mathematics & Statistics
Final Examination
200830
(December 12, 2008)
Statistics 351
Intermediate Probability
Name:
Student Number:
Instructor: Michael Kozdron
Time:
Statistics 351 Midterm #2 November 16, 2007
This exam is worth 50 points.
There are 5 problems on 5 numbered pages.
You have 50 minutes to complete this exam. Please read all instructions carefully, and check
your answers. Show all work neatly and in orde
Statistics 351 Midterm #1 October 6, 2008
This exam has 4 problems and 6 numbered pages.
You have 50 minutes to complete this exam. Please read all instructions carefully, and check
your answers. Show all work neatly and in order, and clearly indicate you
Statistics 351 Midterm #1 October 6, 2008
This exam has 4 problems and 6 numbered pages.
You have 50 minutes to complete this exam. Please read all instructions carefully, and check
your answers. Show all work neatly and in order, and clearly indicate you
Statistics 351 Midterm #1 October 10, 2007
This exam has 4 problems and 6 numbered pages.
You have 50 minutes to complete this exam. Please read all instructions carefully, and check
your answers. Show all work neatly and in order, and clearly indicate yo