STK110
Chapter 5 Discrete Probability Distributions
Discrete Probability Distributions
Random Variables
x is a random variable which is a numerical description of
the outcome of an experiment.
This example is extracted from (Ali 2000).
Suppose that a
STK110
Chapter 7: Sampling
Population versus Sample
Why a sample?
7.2 Selecting a Sample
Simple Random Sampling
Definition:
Every element in the population has the same probability
of being selected.
Example:
1. Draw numbers from a hat.
2. Use RANDOM func
STK110
Chapter 3: Lecture 1 of Ch 3: Descriptive Statistics
Measures of location
Mean, Median and Mode
In what way are they calculated?
Mean:
where n = sample size
Median: Value of middle observation when data is
arranged in ascending order
Note: Whe
STK110
Chapter 6:Continuous Distributions
6.1 Uniform Probability Distribution
Each outcome is equally likely over a
continuous range
The Uniform Probability Density Function:
=
1
0
for
elsewhere
Example
Let = the flight time of an airplane traveling
f
1
STK110
Chapter 4: Probability and Permutations
2
Experiments, counting rules and assigning
probabilities
Example
Rolling a dice you can get the values: S = cfw_1, 2, 3, 4, 5, 6
S is called the sample space.
Experiment: Rolling a dice
The possible ex
CHAPTER 9
HYPOTHESIS TESTING
Hypothesis tests
9.1 Developing the null and alternative hypotheses
:
Null hypothesis
Tentative assumption about a population
parameter - Manufacturers claim
:
Alternative hypothesis
Opposite of what is stated in 0
Rese
Chapter 8
Interval Estimation
http:/www.youtube.com/watch?v=t
FWsuO9f74o
Intervals
Point Estimation:
Sem Test 1 mark example:
= is a point estimate of
= . is a point estimate of
is a point estimator of
is a point estimator of p
Interval Estimation
STK110
Chapter 2: Tabular and Graphical Methods
Lecture 1 of 2
ritakeller.com
mathspig.wordpress.com
Frequency distribution
Example
Data from a sample of 50 soft drink purchases
Frequency Distribution of soft drink
purchases
Soft Drink
Coke
Classic
Diet
STK110
Chapter 1: Data and Statistics (Lecture 1 of Ch1)
Important Definitions
Data & Data set
Data is the facts and figures collected, analysed and
summarized for presentation and interpretation. All the
data collected in a particular study is called a
Chapter 10
STK110
.
10.1 Inferences about the difference between two
population means: and known
Population 1:
Inner-City Store Customers
Population 2
Suburban Store Customers
= mean age of inner-city
store customers
= mean age of suburban
store custome
Introduction to Probability
In everyday conversation, the word probability
is used in many contexts:
I do not play Lotto the
chances to win is too small
The possibility for rain is small
What is the likelihood that the
new investment will be
profitable?
H
2016/02/05
Chapter 2: Descriptive Statistics
Statistics
Inferential Statistics
Descriptive
Statistics
Deduction
Description
Summarising data for a Categorical variable: Frequency distribution
Data from a sample of 50 soft drink purchases
Brand Purchased
C
2016/01/31
Chapter 1: Data and Statistics
STA 110
and I thought DATA
and STATISTICS are
the same will have
to Google it!
Clicker questions: will be asked throughout the lecture.
Slides with a clicker question can be distinguished from
lecture slide by the