Stat W4109: Midterm II
Fall 2013
Time Limit: 2.5 hours
Name (Print):
Student UNI:
Signature:
This exam contains ? problems. Answer all of them. Point values are in parentheses. You must
show your work to get credit for your solutions - correct answers wit
Stat W4109
Fall 2013
Time Limit: 2.5 hours
Name (Print):
Student UNI:
Signature:
This exam contains 7 problems. Answer all of them. Point values are in parentheses. You must
show your work to get credit for your solutions - correct answers without work wi
Stat W4109: Practice Final
Fall 2013
Time Limit: 2 hours 45 minutes
Name (Print):
Student UNI:
Signature:
This exam contains 8 problems. Answer all of them. Point values are in parentheses. You must
show your work to get credit for your solutions - correc
Stat W4109
Fall 2013
Time Limit: 2.5 hours
Name (Print):
Student UNI:
Signature:
This exam contains 7 problems. Answer all of them. Point values are in parentheses. You must
show your work to get credit for your solutions - correct answers without work wi
Introduction to Probability Lectures 9 & 10
October 5, 2013
In this lecture we introduce a number of approximation results.
1
Probability inequalities
There is an adage in probability that says that behind every limit theorem lies a
probability inequality
Stat W4109
Fall 2013
Time Limit: 2.5 hours
Name (Print):
Student UNI:
Signature:
This exam contains 7 problems. Answer all of them. Point values are in parentheses. You must
show your work to get credit for your solutions - correct answers without work wi
Stat W4109: Practice problems for Midterm-I
1. The probability that each specic child in a certain family will inherit a certain disease
is p. If it is known that at least one child in a family of n children has inherited the
disease, what is the expected
1
STATISTICS G6503 STATISTICAL INFERENCE AND TIME SERIES MODELLING
SAMPLE MIDTERM
STUDENTS NAME: _
Directions:
The exam is closed book and closed notes.
You may use a calculator (cell phones & tablets are NOT allowed) and a formula sheet
(both sides of le
Stat W4109: Final
Fall 2013
Time Limit: 2 hours 45 minutes
Name (Print):
Student UNI:
Signature:
This exam contains 7 problems. Answer all of them. Point values are in parentheses. You must
show your work to get credit for your solutions correct answers w
Lecture Schedule for W4109 (Fall 2013)
The first half of the course will cover most of Chapters 1-6. The second half of the course will cover most
of Chapters 7-12 from the textbook, with a bit of extra material thrown in (e.g., non-parametric density).
D
November 23, 2013
1
Simple linear regression
1.1
Normal simple linear regression
To perform inference we need to make assumptions regarding the distribution of
i.
We often assume they are normally distributed.
The normal error version of the model for sim
Stat W4109: Practice Final
Fall 2013
Time Limit: 2 hours 45 minutes
Name (Print):
Student UNI:
Signature:
This exam contains 8 problems. Answer all of them. Point values are in parentheses. You must
show your work to get credit for your solutions - correc
Introduction to Statistics Lecture 6
Estimation
October 22, 2015
1
Motivation
Statistical inference is concerned with making probabilistic statements about
unknown quantities.
Examples: means, variances, quantiles and unknown parameters of distributions.
Introduction to Statistics Lectures 11 & 12
Estimation
October 19, 2013
1
Motivation
Statistical inference is concerned with making probabilistic statements about
unknown quantities.
Examples : means, variances, quantiles and unknown parameters of distri
Problem Set - II
November 16, 2013
1. Let Y1 , . . . , Yn denote a random sample from a normal distribution with mean
2
2
(unknown) and variance 2 . For testing H0 : 2 = 0 against H1 : 2 > 0 ,
(a) Device an intuitive (chi-squared) test, and
(b) nd likeli
W4109: PROBABILITY & STATISTICAL INFERENCE
Autumn 2014
Quiz 2
1. Here is a list of IQ of 8 randomly selected students. We wish to see if their intelligence is similar to that of the population average of 100. Describe the hypotheses.
Assuming normality, s
Lecture 11
December 7, 2013
1
Tests of Goodness-of-t
In some problems, before we collect data we have some specic distribution in mind for the
data we will observe. We can test if the data indeed comes from the specied distribution
or not.
1.1
The 2 test
Practice Problem Set
October 2, 2015
1
Problems
1. A California license plate consists of a sequence of seven symbols: number,
letter, letter, letter, number, number, number, where a letter is any one of 26
letters and a number is one among 0, 1, . . . ,
Introduction to Probability some problems
September 21, 2013
1
Problems
1. Roll a fair dice repeatedly. Let X be the number of 6s in the rst 10 rolls and
let Y the number of rolls needed to obtain a 3.
(a) Write down the probability mass function of X .
(
StatisticsW4109: Probability and Statistical Inference
Fall 2013
This is a master's / advanced undergraduate level, double-credit introductory
course in probability and mathematical statistics.
Course goals: This course covers basic probability theory and
Introduction to Probability some problems
September 14, 2013
1
Problems
1. A California license plate consists of a sequence of seven symbols: number,
letter, letter, letter, number, number, number, where a letter is any one of 26
letters and a number is
Cﬂsﬁudﬂxay @Mm ﬂ
Hm
M omeiw ha um We {km/Q
HA /S .
HA i
HA 1
X 41/61?
HA ‘5
3-0 »/}zz/r ‘chd‘
UMP 40m 7%»
B>9' M C =
kW {4912 {S
0 74 3’ .
(Dwe- 81‘0490/
33 E > 992&U/V;f
1L1? it <9,-— %o(
3.2; MP jaw