Student Number
Queens University
Department of Mathematics and Statistics
STAT 353
Midterm Examination February 18, 2010
Total points = 30. Duration = 58 minutes.
This is a closed book exam.
One 8.
STAT 353 Solutions: Assignment 2
Winter, 2014 (Total 25 marks)
Problem 1 (From Sheet.) (5 marks) First, we note that S S1 . . . Sn . For it not, there
must be some point (x1 , . . . , xn ) S such that
STAT 353 Solutions: Assignment 3
Winter, 2014 (Total 30 marks)
Problem 1 (From Sheet) (6 marks) The transformation from the variables (X(1) , . . . , X(n) )
to (Y1 , . . . , Yn ) is a one-to-one trans
STAT 353 Solutions: Assignment 4
Winter, 2014 (Total 33 marks)
Problem 1 (From Sheet.) (5 marks) We have seen in class that (1/2) = . This
handles the n = 0 case. For n 1, using the recursive property
Student Number
Queens University
Department of Mathematics and Statistics
STAT 353
Midterm Examination February 12, 2009
Total points = 30. Duration = 58 minutes.
This is a closed book exam.
One 8.
STAT 353 Solutions: Assignment 1
Winter, 2014 (Total 30 marks)
Problem 1 (From Sheet.) (6 marks)
(a) (3 marks) After 9 draws, the total number of red, blue and green balls must be at least
6, so the p
STAT 353 Solutions: Assignment 5
Winter, 2014 (Total 30 marks)
Problem 1 (From Sheet.) (9 marks) Expressing Xi and Xj as in the hint, for i = j we have
E[Xi Xj ] = E[(Xi1 + . . . + Xin )(Xj1 + . . . +
Student Number
Queens University
Department of Mathematics and Statistics
STAT 353
Final Examination April 24, 2010
Instructor: G. Takahara
Proctors are unable to respond to queries about the interpr
Student Number
Queens University
Department of Mathematics and Statistics
STAT 353
Final Examination April 9, 2009
Instructor: G. Takahara
Proctors are unable to respond to queries about the interpre
Student Number
Queens University
Department of Mathematics and Statistics
STAT 353
Midterm Examination February 18, 2011
Total points = 30. Duration = 58 minutes.
This is a closed book exam.
One 8.
Student Number
Queens University
Department of Mathematics and Statistics
STAT 353
Final Examination April 21, 2011
Instructor: G. Takahara
Proctors are unable to respond to queries about the interpr
STAT 353 Solutions: Assignment 9
Winter, 2014 (Total 30 marks)
Problem 1 (From Sheet.) (5 marks) Let Fn be the distribution function of Xn and let
F (x) = 0 for x < c and F (x) = 1 for x c (i.e., F is
STAT 353 Solutions: Assignment 6
Winter, 2014 (Total 35 marks)
Problem 1 (From Sheet.) (5 marks) The covariance between X1 and X2 with respect to
the conditional joint distribution of X1 and X2 given
STAT 353 Solutions: Assignment 8
Winter, 2014 (Total 25 marks)
Problem 1 (From Sheet.) (8 marks) Markovs inequality gives
P (X k)
E[X]
= .
k
k
To apply Chebyshevs inequality we rst need to subtract a