STAT 270: Introduction to Probability and
Statistics
Answers to Selected Questions from Textbook Chapter 5
Instructor: Dr. Tim Swartz
By Kasra Youse
October 20, 2012
October 20 2012
5.01:
(a) To evaluate k , we have:
0
kex dx +
0
ke2x dx = 1 k [
0
ex dx
+
STAT 270: Introduction to Probability and
Statistics
Answers to Selected Questions from Textbook Chapter 4
Instructor: Dr. Tim Swartz
By Kasra Youse
October 20, 2012
October 20 2012
4.04: We have that:
p(0) + p(1) + p(2) = 1
c[
2
0
3
3
+
1+6+3=
2
1
3
2
+
STAT 270: Introduction to Probability and
Statistics
Assignment 2: Solutions
Question 1 (a): Dene the event of defect in brakes as B and defect in fuelling
as F. We are now interested in the following probability:
P (B
F ) = P (B) + P (F ) P (B
F ) = .25
CHAPTER 3
Section 3.1
1. S: X: FFF 0 SFF 1 FSF 1 FFS 1 FSS 2 SFS 2 SSF 2 SSS 3
2.
X = 1 if a randomly selected book is nonfiction and X = 0 otherwise X = 1 if a randomly selected executive is a female and X = 0 otherwise X = 1 if a randomly selected driv
Statistics 270 Overview: Study sections 1.1 & 1.2 and do the odd problems. We are interested in drawing conclusions about the characteristics of a population from those of a well chosen subset of the population (a sample). Population The numerical charact
NEED UNITS! NEED RANGE!
READ INSTRUCTIONS! CHECK CALCULATIONS!
Key Concepts:

When we reject H 0 , the results are statistically significant Pairing leads to more sensitive tests when d varies little and individuals differ largely Symmetry, centrality, v
STAT 270: Introduction to Probability and
Statistics
Supplementary Questions: Set 1
Instructor: Dr. Tim Swartz
By Kasra Youse
September 24 2012
This set includes questions relating to chapter 3 of the textbook in no particular order.
Question 1: Prove tha
Name:
Student Number:
STAT 270 Surrey: Spring Semester 2015
Final Examination
21 April 2015
Instructor: Richard Lockhart
Instructions: This is a closed book test but you are allowed four sheets of US letter sized
paper with as much on them as you want. Yo
Name:
Student Number:
STAT 270 Surrey: Spring Semester 2015
Midterm Examination # 3
12 March 2015
Instructor: Richard Lockhart
Instructions: This is a closed book test but you are allowed one sheet of US letter sized
paper with as much on it as you want.
Name:
Student Number:
STAT 270 Surrey: Spring Semester 2015
Midterm Examination # 4
2 April 2015
Instructor: Richard Lockhart
Instructions: This is a closed book test but you are allowed one sheet of US letter sized
paper with as much on it as you want. Y
STAT 270
Sample Midterm 2
Name:
Student ID:
Instructions:
0 There are 4 pages in this exam booklet, including cover page.
c There are 3 questions. Please read all questions carefully and write the
answers in the space provided for each question.
0 Deﬁne a
STAT 270
Sample Final
Name:
Student ID:
Instructions:
0 There are 8 pages in this exam booklet, including cover page.
0 There are 7 questions. Please read all questions carefully and write the
answers in the space provided for each question.
0 Deﬁne all v
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Park
Lake City
Way
Charles
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Park
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Dr
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22
34
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What to do today?
Part II. Introductory Probability (Chp 35)
I
II.1 Probability: Basic Concepts (Chp 3; TSLectures 0610)
I
I
I
I
I
II.1.1 Introduction and Review of Set Theory
II.1.2 Definitions of Probability
II.1.3 Conditional Probability and Independ
What to study today?
Part II. Introductory Probability (Chp 35)
I
II.1 Probability: Basic Concepts (Chp 3; TSLectures 0611)
I
I
I
I
II.1.1 Introduction and Review of Set Theory
II.1.2 Definitions of Probability
II.1.3 Conditional Probability and Indepen
STAT 270: Introduction to Probability and
Statistics
Assignment 2: Solutions
Question 1: Let A denote being allergic and N, denote not being allergic:
(a) P = P (AAAN ) + P (AAN A) + P (AN AA) + P (N AAA) =
(.5)4 + (.5)4 + (.5)4 + (.5)4 = 4 (.5)4 = .25
Se
STAT 270: Introduction to Probability and
Statistics
Assignment 3: Solutions
Question 1: We have that wages are approximately Normal with mean 15.9
and sd 1.5. Therefore:
(a) P (13.75 < X < 16.22) = P (
16.22 15.9
13.75 15.9
<Z<
)
1.5
1.5
= P (1.433 < Z <
STAT 270: Introduction to Probability and
Statistics
Assignment 1: Solutions
2016Summer
Question 1:
Question 2: It is not possible to construct such a dataset. Let us take a look
at what happens when we have n = 3:
To satisfy the range condition, let our
Assignment 6
1. Suppose a particular province allows individuals filing tax returns to list
individual tax deductions only if the total of all deductions is at least $5,000. Let
X be the total of the itemized individual deductions (in 1000s of dollars) on
Statistics 270
Midterm 2
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO!
Name:
Student Number:
Signature:
_
_
_
Instructions:
1. Do not panic. It rarely helps.
2. Read all questions caref
Statistics 270
Final Exam
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO!
Instructions:
1. Read all questions carefully.
2. Define all variables/events used in your solutions.
3. Show all of your work.
4. Cross out any ma
Statistics 270
Sample Midterm 1
Instructions:
1. Read all questions carefully
2. Define all variables/events used in your solutions
3. Show all of your work
Name:
Student Number:
Signature:
1. Give short answers to the following questions (answers must be
Statistics 270
Assignment 4
Due: NOT TO BE HANDED IN
Note:
(i)
(ii)
You do not need a title page (waste of paper). However, please make sure that your
assignments are legible (typed or neatly handwritten) and include your name and
student number on the f
Statistics 270
Midterm 1
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO!
Instructions:
1. Do not panic. It rarely helps.
2. Read all questions carefully.
3. Write your answers clearly in the book provided.
4. Where computations are required, you s
Statistics 270
Assignment 7
Due date: Thursday, April 7
Note:
(i)
You do not need a title page (waste of paper). However, please make sure that your assignments are legible
(typed or neatly handwritten) and include your name and student number on the fro
Statistics 270
Assignment 2
Due date: Thursday, January 28
Note:
(i) You do not need a title page (waste of paper). However, please make sure that your
assignments are legible (typed or neatly handwritten) and include your name and
student number on the
Statistics 270
Assignment 7
Due date: Thursday, April 7
Note:
(i)
You do not need a title page (waste of paper). However, please make sure that your assignments are legible
(typed or neatly handwritten) and include your name and student number on the fro
Statistics 270
Sample Midterm 1
Instructions:
1. Read all questions carefully
2. Define all variables/events used in your solutions
3. Show all of your work
Name:
Student Number:
Signature:
1. Give short answers to the following questions (answers must be
Statistics 270
Final Exam
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO!
Instructions:
1. Read all questions carefully.
2. Define all variables/events used in your solutions.
3. Show all of your work.
4. Cross out any ma
Formula Sheet
Descriptive Statistics
n
Sample Mean:
x=
x
i
i =1
n
n
Sample Variance:
s2 =
(x
2
i
x)
i =1
n 1
Useful Probability Formulas
NOTE: A' and A are the same
Addition Rules:
P( A B)
= P( A) + P( B) P( A B)
P( A B C ) = P( A) + P( B) + P(C ) P( A
1
Assgt 2  (Swartz text, 2nd Ed)
Remember, you should attempt more problems than those assigned. Also, solutions
that are messy, illogical and lacking explanation will not be viewed favourably.
(1)  3.29
(2)  3.42
(3)  4.39
(4)  4.34
(5)  5.11
1
Assgt 1  (Swartz text, 2nd Ed)
Remember, you should attempt more problems than those assigned. Also, solutions
that are messy, illogical and lacking explanation will not be viewed favourably.
(1)  2.06
(2)  2.31
(3)  3.44
(4)  3.11
(5)  3.36