Module 10
Normal Probability Distribution
Chapter 6 Sections 6.1-6.3
Probability Distribution
CONTINUOUS
2
Continuous Distributions
3
1
Continuous Random Variable
A random variable which can assume an
infinitely large number of values
associated with the
Module 7
Conditional Probability & Counting Techniques
Chapter 4 Sections 4.6-4.7
Conditional Probability
Let and be any two events from the
same sample space . We denote the
conditional probability of event , given
that event has occurred, denoted by
(|)
Set Theory Transcript
In sets, the largest set is called the universe. In probability, this is referred to as the
sample space. Inside the universe, there are sets. If there only one set, we will call this set
A. These constitute the points in A.
If we ha
Basic Probability Transcript
In this example, consider a coin tossed several times. Using this application we are able
to set the number of trials currently set at one and adjust the probability of heads
currently set to be 50%, or represent a fair coin.
Module 8
Discrete Probability Distributions
Chapter 5 Sections 5.1-5.3
Introduction
RANDOM VARIABLES
2
Statistical Experiments & Random Variables
Recall, a statistical experiment is any process by which
measurements are obtained for a given variable. That
Module 11
Sampling Distribution
Chapter 6 Sections 6.4
Given the data is normally distributed
2
Sample taken from a Normal Distribution
Then, regardless of the sample size, , the sampling distribution
will follow the normal probability distribution.
3
1
S
Conditional Probability Transcript
In this presentation, we cover dependent and independent events. And probabilities that
use counting techniques such as combination. Two events are independent if the
probability that they both occur, the probability of
Module 9
Binomial Probability Distributions
Chapter 5 Sections 5.4-5.5
Binomial Probabilities
There are a fixed number of trials: n. These n trials
are independent and repeated under identical
conditions
Each trial has only two outcomes: True/False,
Suc
Module 6
Probabilities
Chapter 4 Sections 4.4-4.5
Property 1
Probability of the Complement
Property 1
If A is any event of the sample space S,
then
PA 1 P A
where denotes the complement of
event .
2
Property 2
Probability of the Empty Set
Property 2
If is
PROJECT 1: DICTIONARY
Create a dictionary of at least 50 terms from the Terminology List located on the next three
pages. There are 189 terms given on the list; many of which will be on the first tests as well as
commonly used throughout the semester. You
Lesson 6
NYS COMMON CORE MATHEMATICS CURRICULUM
75
Lesson 6: Using Tree Diagrams to Represent a Sample Space
and to Calculate Probabilities
Student Outcomes
Given a description of a chance experiment that can be thought of as being performed in two or mor
What is Statistics? Terminology and Sampling
Techniques Transcript
Before you is a map of chapter one in The Joy of Statistics.
What is statistics? Statistics is the science of gathering, organizing, analyzing, and
interpreting numerical and categorical i
Module 5
Basic Probability
Chapter 4 Sections 4.1-4.3
Introduction
SET NOTATION
2
Introduction to Symbolism
ENGLISH
LOGIC
SET THEORY
(Read)
p,q,r
P,Q,R
And
p q
P Q
Or
p q
P Q
Not
~p
P or P c or P
Implies
pq
PQ
3
1
Names of Symbols
SIGN
Statement
LOGIC
SIG
COURSE SYLLABUS
STA 2023: Introduction to Statistics I
ONLINE
Department of Mathematics and Statistics
College of Arts & Sciences
University of South Florida
Course Coordinator:
Instructor:
Dr. Rebecca D. Wooten
Jason Burgess
Term:
rwooten@usf.edu
Fall 20
Combinations and Permutations:
(Think of it as advanced counting)
With Combinations order does not matter (I want to form a group of 3 from 5 people how many ways
can I do this?) notice in this question it is not implied that the order in which I select t
Module 1
Terminology & Sampling Techniques
Chapter 1 Sections 1.1-1.7
What is Statistics?
Statistics (as opposed to statistic) is the
science
of
gathering,
organizing,
analyzing, and interpreting numerical and
categorical information.
Statistics is the ar
Discrete Distribution Transcript
In this presentation, we discuss the effects of adding a constant or multiplying by a
constant in expectation and variance. In this example, the original data set is five, three,
four, three, three, with expectations of 3.
Module 12
Normal Approximation to the Binomial
Chapter 6 Sections 6.6
Binomial Probabilities
P(r ) n Cr p r (1 p) n r
p P( S )
n number of trials
r number of successes
2
Mean & Standard Deviation
P(Success ) P( S ) p
P( x successes in n trials )
P( x) n
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STA 2023 EXAM-2
Practice Problems
From Chapters 4, 5, & Partly 6
Ve
With SOLUTIONS
Mudunuru, Venkateswara Rao
STA 2023
Fall 2015
1. A committee of 5 persons is to be formed from 6 men and 4 women.
a. In how many ways can we form this five membe
STA 2023 EXAM-3
Practice Problems
From Chapters 6, 7, & 8
ANSWERS INCLUDED BUT NOT SOLUTIONS
Mudunuru, Venkateswara Rao
STA 2023
Fall 2015
Standard Normal z-TABLE:
P( Z < z )
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
.5000
.5040
.5080
.5120
.5160
.519
Stats Exam 2
Study online at quizlet.com/_18t6mh
1.
Alternative
hypothesis
Ha; statements about unknown parameter
2.
are results
SI if p-value
is small?
yes
3.
assumptions
for CI for
pop mean
original distribution is normal or n is greater
than or equal t
V
Vn
From Chapters 1, 2, and 3
Ve
nk
at
STA 2023 EXAM-1
Few Solutions for the
Practice Problems
Mudunuru, Venkateswara Rao
STA 2023
Fall 2015
Practice Problem Sheet
Survey
Parameter
Subjects
Census
Ordinal
Statistic
Double Blind
Bias
Cluster
Convenience
I
V
Vn
at
STA 2023 EXAM-2
Practice Problems
ANSWERS INCLUDED BUT NOT SOLUTIONS
Ve
nk
From Chapters 4, 5, & Partly 6
Mudunuru, Venkateswara Rao
STA 2023
Fall 2015
1. A committee of 5 persons is to be formed from 6 men and 4 women.
a. In how many ways can we
V
Vn
From Chapters 1, 2, and 3
Ve
nk
at
STA 2023 EXAM-1
Practice
Problems
Mudunuru, Venkateswara Rao
STA 2023
Fall 2015
Practice Problem Sheet
Survey
Parameter
Subjects
Census
Ordinal
Statistic
Double Blind
Bias
Cluster
Convenience
Individuals
Simple Rand
nV
nk
at
V
STA 2023 EXAM-3
Practice Problems
From Chapters 6, 7, & 8
Ve
SOLUTIONS
Mudunuru, Venkateswara Rao
STA 2023
Fall 2015
Standard Normal z-TABLE:
P( Z < z )
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
SAMPLE FINAL
STA 2023 (Introductory Statistics-I)
Fall 2015
SECTION 1: Matching Terminology
(15 of the following terms will be verbatim on the final)
A.
Alpha value
M.
Placebo effect
X.
Standard error
B.
Beta value
N.
Power of a test
Y.
Statistic
C.
Bias
Review
Session
for Principles
of
Review
Session
for Intro
to Statistics with
Macro Economics
with Dr. A. Criss
Dr. Venkat Mudunuru
Need
preparing
for
Need
helphelp
withwith
preparing
for your
your
finalGo
exam?
to thegiven
final
exam?
to theGo
review
revi
STA2023 Exam I
Study online at quizlet.com/_1fpa8g
1.
census
measuring a variable for every
unit of a population
2.
class
one of the categories into
which qualitative data can be
classified
3.
class frequency
number of observations in the
data set that fa