Stat 2507 C. Fall term 2017. Assignment#1. (Covering Ch. 5-6). Due date: Wednesday Nov. 8th, at the beginning of class
Total of marks = 100
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Student # _
Part I. Lab Quest
Winter 2017
Part I Lab Questions
1.
a) Refer to last page for histogram.
b) The shape of distribution of this data set is unimodal and symmetrical. The graph is bell
shaped.
c)
42+32+17+10+2
150
=0.68
Part I Lab Questions
b) 77.5 dollars
11
c) 60
d) The minimum is 24 dollars and the maximum is 125 dollars
e) They are above 84.25
2.
b)
The shape is skewed to the left
c)
Yes, there are three outliers
7.3 Small sample CI for mean
Chi^2 and t distributions
If
is a random sample from standard normal
distribution, then
has chi square distribution with degrees of
freedom (df).
If is has standard nor
Stat 3502
Assignment 5
Due In Tutoiral
Carleton University
School of Mathematics and Statistics
STAT 3502: Probability and Statistics - Assignment 5
Sections A due Wednesday, April 6, 2016 in tutorial
Ch 8 test of hypothesis (Cont)
Small sample with unknown variance
Unknown variance
Test statistic: has t distribution with
n-1 df.
Every thing else remains the same: null and
alternative hypothesis,
4.4(Cont)
Relationship between exponential
distribution and Poisson distribution
If
arrivals (per unit time) occur according to a
Poisson process with parameter then time
elapsed between two success
3.6 Poisson distribution
Context and examples (Rare events)
Number of events occurring during a given
time (or distance) interval. Examples:
Number of road accidents per week on
Highway 417 West (Mo
Ch. 7 Confidence intervals (CI)
7.1 and 7.2 CI for a mean and for a
proportion
(Large SampleCI for a mean
(1-)100% CI for is
Most used confidence levels: 95%, 90%, 99%,
etc. Corresponding z: 1.96, 1.
3.5 (Cont) Geometric and
Negative binomial distributions
Geometric distribution
Context:
number of failures until first success
Formula:
Example 1: Keep having children until one gets
a girl. What
Some interesting examples of
probability
Paradoxes
The king
The king has one sibling. What is the
probability that it is his sister?
Birthday
n people are in a room. What is the
probability that at
Ch. 4 Continuous random
variables
4.1-4.3
4.1 Probability density function (pdf)
Pdf conditions:
1. and 2.
Ex: Uniform distribution over interval [A,B]:
4.2 Cumulative distribution function (cdf)
U
4.2 (Cont) Percentiles, expected
value
Percentiles
(100p)th percentile: such that
Some important percentiles:
1. 50th percentile: median, denoted by
2. 25th percentile: first quartile .
3. 75th perce
Ch. 6
Point estimation
6.1 General concepts
An
estimator of a parameter is a statistic . That is
a function of the sample.
An estimate of is a single number: value of on
a given sample.
An estimat
Carleton University
School of Mathematics and Statistics
STAT 3502: Probability and Statistics - Assignment 3
Sections A due Wednesday, March 9, 2016 In Tutorial
Section B due Monday, March 7, 2016 In
6.2 Methods of point estimation
Method of moments estimator and
MLE
Method of moments
Equate
sample th moment and th population
moment (for ).
Example 1: Let be a random sample from
exponential dist
4.3 Normal distribution
Parameters
and .
Standard normal distribution
When
=0 and =1, then standard normal.
Standardization procedure: if X has normal
distribution then
has standard normal distribu
STAT 3502
ASSIGNMENT 2
DUE: Monday, March 2nd, in class
NOTE: Late assignments will NOT be accepted. TAs will NOT accept assignments directly from the students. In addition to your name and student nu
3502 Assignment 1 due Wed. Feb. 11th in class. No late assignment will be
accepted. TAs will NOT accept assignments directly from students.
1. An airliner has 2 p.m., 8 p.m., and 10 a.m. flights from
1
Formula sheet
Winter 207
IQR=Q3 Q1 . Lower fence=Q1 1.5(IQR), and upper fence=Q3 + 1.5(IQR).
A and B are independent means that P (A B) = P (A)P (B) or P (A|B) = P (A).
If A, B mutually exclusive
SYSC 2004
Unit 4
Wrapper classes
Class members
Packages
Java Applications
Copyright Systems & Computer Engineering, Carleton
University. SYSC2004
1
Mixing Primitives and Object
References
In Java, un
Magnetic Field
Biot-Savart Law
Application: Current Loop
Application: Straight Wire Current
Amperes Law
Reading Questions
What is going on Monday?
1. Last day of the Olympics.
2. My 38 birthday.
3. Yo
SYSC-2004
Unit 2
Using Objects
Revised: January 2012
Copyright , Systems and Computer Engineering, Carleton University
1
What is an Object?
Cars
RolloverCounter
A Car class describes
in an abstract w
SYSC-2004
Unit 2
Using Objects
Revised: January 2012
Copyright , Systems and Computer Engineering, Carleton University
1
What is an Object?
Cars
RolloverCounter
A Car class describes
in an abstract w
PSCI 1200
Week 5
Violence in Global Politics
Aims of Todays Class:
1. To think critically about the meaning of
violence and to consider what counts as
violence.
2. To consider the relationship between
SYSC2004
Inheritance and Subtypes
revised Oct. 2014
1
Run-time Typing of Objects
Every variable has a type that is determined
at compile-time (static)
BankAccount
int a;
-holder
Chequing c;
-balance
B
SYSC-2004
Unit 2
Using Objects
Revised: January 2012
Copyright , Systems and Computer Engineering, Carleton University
1
What is an Object?
Cars
RolloverCounter
A Car class describes
in an abstract w
SYSC 2004 Object-Oriented Software
Development
Unit 6
Inheritance
Copyright Systems and Computer Engineering,
Carleton University. SYSC 2004 Inheritance.ppt
1
Inheritance
Inheritance is a key mechani