Stat 230
May 2nd 2012
Dina Dawoud
M3 3126
Course Outline
Lectures: MWF 9:30 to 10:20, M3 1006
Tutorials: W 3:30 to 4:20, M3 1006
Course Notes: Probability: Stat 220/230
Notes
Available at Campus Copy, MC 2018
Supplementary Lecture Slides (found on
LE
STAT 230
Tutorial 2
May 23rd 2012
1. Use Venn diagrams to verify that
(a) (A
B ) (A
B ) = A;
(b) (A
B ) (A
B)
(c) A (A
B) = A
(A
B) = A
B;
B.
2. A orist stocks red roses and white roses, some of which have thorns and
some do not. Let R be the event that a
Tutorial 3
STAT 230 S12
Question 1: Suppose P(A)=0.2 and P(B)=0.4. If ( )
i)
ii)
are A and B
Independent? Explain
Mutually Exclusive? Explain
Question 2:
MathSoc ties are only made by 2 companies, Pamco and Sascs and only come in 2 types, Business and
Dou
Tobacco and health
Health hazards of smoking
Smoking causes cancer, heart disease, stroke, lung diseases, diabetes,
and chronic obstructive pulmonary disease (COPD), which includes
emphysema and chronic bronchitis.
Smoking is directly related for approx
Health Psychology
Psychological consequences of exercise
Using exercise to change health behaviours
Epidemiology
Research
What is Epidemiology?
the study of the distribution and determinants of health related
states or events in specified populations,
Sitting:
How can something that feels so good be so bad?
The Active Times Become a fan
www.theactivetimes.com
Posted: 09/29/2014 10:32 am EDT Updated: 11/26/2014 5:59 am EST
Sitting Is the New Smoking: Ways a Sedentary Lifestyle Is
Killing You
Home
Life
H
Sport Injuries!
Ouch!#*
Injury
Prediction
Rehab
Psychology
Injury
Prevention
Injury
Recovery
Injury Prediction
The role of stress.
Williams and Andersen Model (1998)
Personality
Potentially Stressful
Athletic Situation
History of
Stressors
Coping
Resourc
Observational
Learning/Modeling
A picture is worth a thousand words.
Modeling.to be one of the most powerful
means of transmitting values, attitudes,
patterns of thoughts and behavior.
(Bandura,
1986)
Banduras Model
Modeled Act
Attention
Retention
Product
Exercise/PA and Mental Health
Depression
t Is Depression?
While everyone feels sad from time to time,
if that occurs most days for more than two
weeks, it could mean that clinical
depression is occurring. Major
depression is a period of sadness,
irritabil
Terminology
Distinguish among affect related terms:
Basic affect-the most general valence experiential response (i.e., low
arousal/pleasure vs high arousal/displeasure)
Distinct affective statesemotions and moods (i.e., anxiety,
depression) that may inclu
Computer Science CS1033
Multimedia and Communication
Lecture 2
Multimedia overview
Intro to Text
1
Todays Objectives
Multimedia
Define multimedia
Types of media found in multimedia
Uses of multimedia
History of multimedia
Text
Overview
Overview
Text Fon
4 - Variance and Standard Deviation
2016-09-16, 8:21 AM
4 - Variance and
Standard Deviation
Duncan Murdoch
September 16, 2016
file:/Users/adamzabian/Desktop/4%20-%20Variance%20and%20Standard%20Deviation.htm#1
Page 1 of 23
4 - Variance and Standard Deviati
Tutorial 1
9th May 2012
Qu1: (Problem 3.2.2) In a race 15 runners are
randomly assigned numbers 1,2,15. Find
the probability that
a) 4 of the first 6 finishers have single digit
numbers.
b) The fifth runner to finish is the 3rd finisher
with a single dig
Tutorial 3
5TAT230512
Question 1: Suppose Pcfw_A=O.2 and Pcfw_B=O.4. If P(AB)
i
Independent?
ii
= 0.48,
are A and B
Mutually Exclusive? Explain
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STAT 230
Tutorial 2
May 23rd 2012
1. Use Venn diagrams to verify that
s
1
2. A florist stocks red roses and white roses, some of which have thorns and
some do not. Let R be the event that a rose is red, and let T be the event
that a rose has thorns. It is
Lecture 2
May 4th 2012
Recall:
Card example: Find the Probability the
card is a club.
P( Club is drawn)= 13/52 = 1/4
We can use the term odds to describe
probabilities where,
The odds of an event A occurring is given
by:
P(A)
1-P(A)
So in the card ex
Lecture 3
May 7th 2012
Recall:
n
0
1
2
3
4
5
6
7
8
9
10
n!
1
1
2
6
24
120
720 5040 40320 362880 3628800
As we just saw when n gets reasonably
large, for example sampling from a deck of
cards or a large population, we can no
longer just count the number
Lecture 4
May 9th 2012
Example: Among seven nominees for two
vacancies on a city council, three are men
and four women. In how many ways can
these vacancies be filled
a)With any two nominees?
b)With one of the men and one of the
women?
c)With less than 2
Lecture 5
11th May 2012
Review of Useful series and sums
Probability Rules and Conditional
Probability: Chapter 4
1. P(S)=1
Proof:
2. For any event A, 0P(A)1
Proof:
Venn Diagrams: These are used to
illustrate the relationship among sets.
They are made u
Lecture 7
May 18th 2012
Mutually exclusive (ME):
Events A and B are said to be Mutually
Exclusive if:
P(AB)=0 or AB=
What is this telling us?
In general:
Example: Two ordinary dice are rolled.
Find the probability that at least one of
them turns up a si
Lecture 8
May 22nd 2012
Where if A and B are independent then:
Example:
Suppose 5% of Males and 0.25% of
Females are colour blind. A colour-blind
person is randomly selected. What is the
probability that this person is Male?
Multiplication and Partitio
Lecture 9
May 23rd 2012
Recall:
Conditional Probability: The probability of
A GIVEN B
Product rule:
Partition rule:
Tree diagrams
These are useful in giving a visual
representation of conditional probabilities.
The tree diagram consists of Nodes an
Lecture 10
May 25th 2012
Definition: A Random Variable is a
function that assigns a real number to
each point in a sample space S
Random Variables are denoted by capital
letters: X, Y,
And the possible values/ outcomes are
denoted by: x, y,
X
Discret
Lecture 11
May 28th 2012
Test 2:
Thursday, May 31st
Time: 4:30 to 5:20
Venues: Pre-seating
Content: Chapter 4, NO PROOFS
Discrete Uniform Distribution:
Physical setup:
If the random variable X takes on values a,
a+1, a+2, , b where each value is eq
Lecture 12
May 30th 2012
Recall:
Uniform Distribution: X is a random variable
that takes on values a, a+1, a+2, , b where
each value is equally likely.
Hypergeometric Distribution: We pick n
objects without replacement from a population of
size N. Wher
STAT230
S12
Tut 1
Qu1: cfw_Problem 3.2.2 In a race 15 runners are randomly assigned numbers
probability
,2, .,15. Find the
that
a
4 of the first 6 finishers have single digit numbers.
b)
The fifth runner to finish is the 3rd finisher with a single digit n
Chart #1
Chart #2: Two Sample Summary
Assume
Parameter
Estimate
Paired Data
Unpaired Data
Unpaired Data
SE (standard error)
Table
(
)
(
)
)
( )
and
)
(
)
Approximately
normal