Faculty of Science
Department of Mathematics and Statistics
Theory of Interest MATH 2600 / STAT 2600
Fall 2016
Solutions for Midterm Exam A
Tuesday, October 18, 2016 at 10:05 a.m. - 11:25 a.m.
NAME (in ink):
STUDENT NUMBER:
SIGNATURE (in ink):
INSTRUCTION
Faculty of Science
Department of Mathematics and Statistics
Theory of Interest MATH 2600 / STAT 2600
Fall 2016
Solutions for Assignment 4
Due: Thursday, November 17, 2016 at 10:05 a.m.
This assignment has a total of 9 questions (total of 241/2 marks). The
Faculty of Science
Department of Mathematics and Statistics
Theory of Interest MATH 2600 / STAT 2600
Fall 2016
Assignment 1
Due: Thursday, September 29, 2016 at 10:05 a.m.
This assignment has a total of 8 questions (total of 22 marks). The maximum mark is
Faculty of Science
Department of Mathematics and Statistics
Theory of Interest MATH 2600 / STAT 2600
Fall 2016
Solutions for Midterm Exam B
Tuesday, October 18, 2016 at 10:05 a.m. - 11:25 a.m.
NAME (in ink):
STUDENT NUMBER:
SIGNATURE (in ink):
INSTRUCTION
Faculty of Science
Department of Mathematics and Statistics
Theory of Interest MATH 2600 / STAT 2600
Fall 2016
Assignment 5
Due: Thursday, December 1, 2016 at 10:05 a.m.
This assignment has a total of 13 questions (total of 23 marks). The maximum mark is
Faculty of Science
Department of Mathematics and Statistics
Theory of Interest MATH 2600 / STAT 2600
Fall 2016
Midterm Exam B
Tuesday, October 18, 2016 at 10:05 a.m. - 11:25 a.m.
NAME (in ink):
STUDENT NUMBER:
SIGNATURE (in ink):
INSTRUCTIONS TO STUDENTS:
Faculty of Science
Department of Mathematics and Statistics
Theory of Interest MATH 2600 / STAT 2600
Fall 2016
Midterm Exam A
Tuesday, October 18, 2016 at 10:05 a.m. - 11:25 a.m.
NAME (in ink):
STUDENT NUMBER:
SIGNATURE (in ink):
INSTRUCTIONS TO STUDENTS:
Faculty of Science
Department of Mathematics and Statistics
Theory of Interest MATH 2600 / STAT 2600
Fall 2016
Solutions for Assignment 1
Due: Thursday, September 29, 2016 at 10:05 a.m.
This assignment has a total of 8 questions (total of 22 marks). The m
MATH/STAT 3460, Intermediate Statistical Theory
Winter 2014
Toby Kenney
Sample Final Examination
Model Solutions
1. Under a certain model, the number of is assumed to follow a censored
Poisson distribution with parameter . That is the probabilites of 0, 1
MATH/STAT 3460, Intermediate Statistical Theory
Winter 2014
Toby Kenney
Sample Final Examination
This Sample Final has more questions than the actual final, in order to cover
a wider range of questions.
Critical values for chi-squared distribution:
Degree
STAT 3340 Assignment 1 solutions
(out of 125 points)
(10)
1. Find the equation of the line which passes through the points (1,1) and (4,5).
1 = (5 1)/(4 1) = 4/3
equation for the line is y y0 = 1 (x x0 ), where (x0 , y0 ) is a point on the line. Using the
.-.-.-.-.-.-
.-
._._.-.-.~_-.-.-.-
ermitted.
Please answer the questions in the space pr
the t with innite degrees
One sheet of formulae] notes. letter size. and a calculator are p
Tables are provided for t and F. For the normal distribution use
of freedo
Wmg
Student Number: _
STATISTICS 3340/ MATH 3340 Final Exam, Sat. Dec. 19. 2009
Please answer the questions in the space provided. Justify your answers.
Three sheets of formulae/notes. letter size, are permitted.
1. A data set contains information on the
Assignment 1, due Oct 2, 2015
(4)
1. Find the equation of the line which passes through the points (1,1) and
(3,5).
slope = rise/run, so slope = (5-1)/(3-1) = 2
y-intercept is -1, because a decrease in 1 in the horizontal direction
leads to a change of
Assignment 3, due Oct. 28 2015 Solutions
1. In assignment 2 you worked with data on fish lengths, with age and water
temperature as predictors. We saw that there was curvature in the
residual plots, and so the full quadratic model
y = 0 + 1 x1 + 2 x2 + 3
Assignment 6, due Dec. 7, 2015 Solutions
1. We have fitted the model
loss = 0 +1 Air.F low+2 Acid.Conc+3 W ater.T emp+4 W ater.T emp2 +
(3)
(a) Obtain the leverage values for this model. Are any above the usual
cutoff of 2p/n? If so, explain why this case
Assignment 2, due Oct. 21 2015 SOLUTIONS
The length of a species of fish is to be represented as a function of the age and water
temperature. The fish are kept in tanks at 25, 27, 29 and 31 degrees Celsius. After
birth, a test specimen is chosen at random
Assignment 5, due Nov. 27 2015
1. In assignment 2 and 3 and 4 you worked with data on fish lengths, with
age and water temperature as predictors. You have now fitted a
quadratic model
y = 0 + 1 x1 + 2 x2 + 3 x1 x2 + 4 x21 + 5 x22 +
(6)
(a) Determine whet
MATH/STAT 3360, Probability
FALL 2015
Sample Final Examination
Model Solutions
This Sample examination has more questions than the actual final, in order
to cover a wider range of questions. Estimated times are provided after each
question to help your pr
MATH/STAT 3360, Probability
FALL 2015 Hong Gu
Homework Sheet 2
Model Solutions
Basic Questions
1. What is the probability that the sum of 3 fair 6-sided dice is 8?
The following possibilities sum to 8: (1,1,6), (1,2,5), (1,3,4), (1,4,3), (1,5,2),
(1,6,1)
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 1
Model Solutions
Basic Questions
1. A statistics textbook has 10 chapters. Each chapter has 20 questions and
each question has 3 parts. How many part-questions are there in total in
the book?
T
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 7
Due: Thursday 26th November: 2:30 PM
Basic Questions
1. If X is exponentially distributed with parameter and Y is normally
distributed with mean 0 and variance 2 ,
(a) nd the moment generating
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 5
Due: Tuesday 27th October: 2:30 PM
Basic Questions
1. If X is normally distributed with mean 0 and variance 1, what is the
probability density function of X 2 ?
2. Let X be normally distribute
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 4
Due: Thursday 15th October: 2:30 PM
Basic Questions
1. A random variable X has the following probability mass function:
x P (X = x)
0 0.1
1 0.2
3 0.3
4 0.2
7 0.1
20 0.1
(a) What is E(X)?
(b) W
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 2
Due: Thursday 1st October: 2:30 PM
Basic Questions
1. What is the probability that the sum of 3 fair 6-sided dice is 8?
2. For an experiment with sample space cfw_1, 2, 3, 4, 5, is there a pro
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 1
Due: Thursday 24th September: 2:30 PM
Basic Questions
1. A statistics textbook has 10 chapters. Each chapter has 20 questions and
each question has 3 parts. How many part-questions are there i
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 8
Due: Thursday 3rd December: 2:30 PM
Basic Questions
Homework 7, Q.1 If X is exponentially distributed with parameter and Y is normally
distributed with mean 0 and variance 2 ,
(b) Use the Cher
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 6
Due: Thursday 19th November: 2:30 PM
Basic Questions
1. X is normally distributed with mean 5 and standard deviation 1. Y is
independent and normally distributed with mean 2 and standard devia
MATH/STAT 3360, Probability
FALL 2015
Hong Gu
Homework Sheet 3
Due: Thursday 8th October: 2:30 PM
Basic Questions
1. Three fair dice are rolled. Which of the following pairs of events are
independent?
There is exactly one 6 among
(a) The rst roll is 6.
th
STAT 3460 - Lecture 21
Tests for Binomial Probabilities - 12.4
March 21, 2012
Tests of Signicance
Tests for Binomial Probabilities
Consider an experiment where k treatments are compared on the
basis of success/failure data with the results tabulated below