STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
February 13, 2017
Jabed Tomal (U of T)
Statistics
February 13, 2017
1 / 25
A
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
January 30, 2017
Jabed Tomal (U of T)
Statistics
January 30, 2017
1 / 41
An
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
Problem 1: Suppose the following sample of waiting times (in minutes) was obtained for
customers in a queue at an automatic banking machine.
1510 31045
53 42145
9310
Record the median and IQR and provide a,
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
January 16, 2017
Jabed Tomal (U of T)
Intro to Statistics
January 16, 2017
1
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
March 20, 2017
Jabed Tomal (U of T)
Statistics
March 20, 2017
1 / 51
Simple
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
March 13, 2017
Jabed Tomal (U of T)
Statistics
March 13, 2017
1 / 34
An Intr
Dad-mo: H73; )1 17,7. (Ln rxol b4 dehjk-alNJ ref-
lrfc'oio] lJLle ocfw_ mg/vukehq .
QUIZ 5: STAB57H3 - An Introduction to Statistics
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
Problem 1: Assume that the speed of light data in the following table i
:1; 911
QUIZ 7: STAB57II3 - An Introduction to Statistics
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
Problem 1: Suppose that the number of auto-collision in GTA follows Poisson distribution
with parameter A 2 0. The number of total auto-collision is
.-"'
gel V l
'_,_.
QUIZ 4: STAB57H3 - An Introduction to Statistics
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
Problem 1: Consider that a random variable X represents GPA of students enrolled in
STAB57. The distribution of X is assumed to be Uniform
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
March 6, 2017
Jabed Tomal (U of T)
Statistics
March 6, 2017
1 / 33
An Introd
QUIZ 10: STAB57H3 - An Introduction to Statistics
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
Problem 1: Suppose that X is a random variable and Y = X 2. Determine whether or not
X and Y are related. What happens when X has a. degenerate distribution
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
January 9, 2017
Jabed Tomal (U of T)
Intro to Statistics
January 9, 2017
1 /
_> Jmu (02% Ri) : Lov (KC, iii) LifT/V.
\lw Lao mtg) (We cfw_
, ,_ A. .
*- (H
>4 Cari.
QUIZ 8: STAB57H3 - An Introduction to Statistics
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
Problem 1: Let cfw_X1,Xg, - - - ,X") be a random sample from an N (p,
\M
-:_:_-'
QUIZ 6: STAB57H3 - An Introduction to Statistics
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
1 (a): Suppose that ($1,332, - ~- ,3) is a random sample from a. Uniform(0,9) distribution
with 9 > 0 unknown. Write dov%the likelihood function f
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
January 2, 2017
Jabed Tomal (U of T)
Intro to Statistics
January 2, 2017
1 /
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
January 23, 2017
Jabed Tomal (U of T)
Statistics
January 23, 2017
1 / 31
An
wow was; Ware M W M w , W)
hm
0K :FVl'UVl-Q PVLJ'CLEHJH Mil
QUIZ 1: STAB57H3 An Introduction to Statistics
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
Problem 1: Suppose you know that a random variable X follows Geometric(9) distribution.
The probab
@
QUIZ 2: STAB57H3 - An Introduction to Statistics
LAST NAME: FIRST NAME:
STUDENT NUMBER: TUTORIAL:
Problem 1: Suppose it is known that a. response X is distributed Uniform[0, [3], Where 13 > O
is unknown. Is it possible to parameterize this model by the
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
February 27, 2017
Jabed Tomal (U of T)
Statistics
February 27, 2017
1 / 21
A
Exercise 10.3.4
March 29, 2015
1
Question
Consider the n = 11 data values in the following table.
Observation
1
2
3
4
5
6
X
-5.00
-4.00
-3.00
-2.00
-1.00
0.00
Y
-10.00
-8.83
-9.15
-4.26
-0.30
-0.04
Observation
X
Y
7
1.00 3.52
8
2.00 5.64
9
3.00 7.28
10
4.
STAB57H3: An Introduction to Statistics
Winter, 2017
Instructor: Jabed Tomal
Department of Computer and Mathematical Sciences
University of Toronto Scarborough
Toronto, ON
Canada
February 6, 2017
Jabed Tomal (U of T)
Statistics
February 6, 2017
1 / 22
An
Surprise Quiz 2: STAB57 - Introduction to Statistics
FIRST NAME:
LAST NAME:
STUDENT NUMBER:
TUTORIAL:
Select the most reasonable answer.
Question # 1: A probability density/mass function is a function of
1. Statistic
2. Parameter(s)
3. Random Variable(s)
Surprise Quiz 1: STAB57 - An Introduction to Statistics
LAST NAME:
FIRST NAME:
STUDENT NUMBER:
TUTORIAL:
For multiple choice questions, please check the most reasonable answer.
Question # 1: Let a random variable X counts the number of house fires in Grea
GHGClaSS find more resources at www.0neclass.com
UTSC Department of Computer and Mathematical Sciences
STA B52 Quiz 10 Version 1
Family Given Student No.
I Understanding. Heres an example of what to expect on a term test or nal:
Physicists in Europe sai
STAB52 Midterm Exam Solutions
Tuesday, Nov. 3, 2015
Problem 0. (i)
(20%) Let X be a random variable with finite expectation and variance.
Show that if a, b are real numbers, then V ar(aX + b) = a2 Var(X). Explain all steps.
Solution. Let = E[x]. By defini
UNIVERSITY OF TORONTO SCARBOROUGH
Department of Computer and Mathematical Sciences
Midterm Test, June 2016
STAB52 Introduction to Probability
Duration: One hour and fifty minutes
Last Name:
First Name:
Student number:
Tutorial (e.g. TUT003):
Tutorial Time