MAT2322 Solution to Midterm l (A) Winter 2012
Solution to Midterm 1 (A)
MAT2322, Winter 2012
Total = 20 marks
1. (3 marks) Find the angle between vectors u = (1, 0, l), v = (O, l, 1).
= arccos— = —
uv 1 Jr
2 3'
Solution. 19 = arccos
In II VI
2. (4 mark
MAT2377
Catalin Rada
Version May 28, 2009
Lectures covering 81; 82
Catalin Rada
MAT2377 Probability and Statistics for Engineers
Lecture covering 81; 82
Condence intervals for mean when the variance is
known
Recall: The observed value of an estimator
MAT2377
Catalin Rada
Version May 7th, 2009
Catalin Rada
MAT2377 Probability and Statistics for Engineers
Lecture 234
Summary of Lecture 1
Sample spaces and events; A B, A B
Principles of counting:
sampling with/without
r
r
ordered/unordered samples; n
MAT 2322
Professor: Dr. Arian Novruzi
March 1st, 2005
Midterm exam (winter 2005)
SOLUTION
LAST NAME, First name:
Student number:
Notes
1) No books or any other document are allowed
2) A simple calculator with no programming and graphical capabilities can
Shortanswer questions
[4]
1. The probability density function of the weight (in kg) of packages delivered by a post
oce is
2
70/(69 x ), 1 < x < 70
0,
otherwise
f (x) =
(a)
(b)
(c)
(d)
What is the probability that the weight of a package will be more tha
1
Practice problems List Week 4
MAT2322B
Fall 2015
Week 4: September 28 to October 2nd
Topics covered this week:
 Double integrals over general region
 polar coordinates
 double integrals in polar coordinates
 application of double integrals
 Triple
1
Practice problems List Week 8
MAT2322B
Fall 2015
Week 8: November 2nd to November 6th
Topics covered this week:

Line
Line
Line
Line
integral
integral
integral
integral
in
in
in
in
R2 along curve C
R2 along curve C with respect to x and with respect to
1
Practice problems List Week 3
MAT2322B
Fall 2015
Week 3: September 21 to September 25
Topics covered this week:
 Double integrals over general region
 polar coordinates
 double integrals in polar coordinates
 application of double integrals (if time
1
Practice problems List Week 6
MAT2322B
Fall 2015
Week 6: October 15th only
Topics covered this week:
 Spherical coordinates
 Triple integrals over spherical coordinates
Practice problems:
Practicing is very important in order to do well in this course
1
Practice problems List Week 7
MAT2322B
Fall 2015
Week 7: October 19th to 23rd
Topics covered this week:
 curves in plane
 curves in space
 derivative of a vector function
 Tangent unit vector
 integral of a vector function
 arc length of a curve

MAT2377
Catalin Rada
Version May 26, 2009
Lectures Covering 71; 72; 73
Catalin Rada
MAT2377 Probability and Statistics for Engineers
Lecture Covering 71; 72; 73
Point estimation
Statistical inference consists of methods used to make conclusions abou
MAT2377
Catalin Rada
Version June 2, 2009
Catalin Rada
MAT2377 Probability and Statistics for Engineers
Lecture covering 83, 85, 84
83 Estimating the mean of a normal population (
unknown)
In the special case of a normal population, it is possible to
%
MAT 1322 32011. TUE., July 5th 19:00—20:20 Prof. C. Rada
MIDTERM TEST 2
ﬁoLI
Student N umberr
oTime: '80 min.
0 Only basic scientiﬁc calculators are permitted (non—graphing, non—programmable, no
integration or differentiation capabilities). Notes or
MAT 1322A W2012 Wednesday, Feb. 8th 8:30—9:50 Prof. Desjardins
MIDTERM TEST 1
Max=20
!
Student Number:
oTime: 80 min,
0 Only basic scientific calculators are permitted (non—graphing, non—programmable, no inte—
gration or differentiation capabilities). Not
MAT2377
Catalin Rada
Version 2009/06/16
Catalin Rada
MAT2377 Probability and Statistics for Engineers
Lecture 91,2,3; 95; 51,2,3
Hypothesis Testing
Hypothesis testing is a procedure that leads us to decide if experimental data supports a hypothesis con
MAT2377
Catalin Rada
Version May 14, 2009
Lectures
Catalin Rada
MAT2377 Probability and Statistics for Engineers
Lecture
Ch. 4 Continuous Random Variables
What to do when there are uncountably innitely many outcomes, e.g.
points on the real line?
In the d
MAT2377
Catalin Rada
Version May 12, 2009
Lectures
Catalin Rada
MAT2377 Probability and Statistics for Engineers
Lecture
Summary of Lectures 234
Computation of classical probabilities
Rules and axioms, e.g. P (A B) = P (A) + P (B) P (A B)
Independenc
1
Practice problems List Week 5
MAT2322B
Fall 2015
Week 5: October 5th only
Topics covered this week:
 Cylindrical coordinates
 Triple integrals over cylindrical coordinates
Practice problems:
Practicing is very important in order to do well in this cou
1
Practice problems List Week 9
MAT2322B
Fall 2015
Week 9: Only Monday November 9th (Midterm 2 is on Thursday November 11th
Topics covered this week:
 Greens theorem (conclusion)
 Conservative vector field
Practice problems:
Practicing is very important