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Math 316
Section 3.2 Introduction to Probability
The probability of an event occurring is what fraction of the time we expect it to
occur. The theoretical probability of event occurring is
Prcfw_ =
.
For example, suppose there is a group of _ men and
Math 316
Section 3.3 Probability Rules
An important idea today is conditional probability, Prcfw_2 |1 , the probability that event
2 will occur or be true given that some other event 1 has occurred or is true.
Recall that
so
1
2
Prcfw_2 =
Prcfw_ 2 |
Math 316 Fall 2014
Midterm Exam 1
September 22, 2014
Name: _
Problem
1/2/3
4/5
6/7
8/9
10
Total
Possible
18
25
20
22
15
100
Received
D O NOT OPEN YOUR EXAM UNTIL TOLD TO DO SO .
You may use a 3 x 5 card (both sides) of handwritten notes and a calculator.
Math 316 Spring 2014
Exam 2
March 6, 2014
Name: _
Problem
T/F
1/2
3
4
5/6
Total
Possible
26
23
13
25
13
100
Received
DO
NOT OPEN YOUR EXAM UNTIL TOLD TO DO SO .
You may use your own textbook, a 3 x 5 card of handwritten notes,
and a calculator. There is n
Math 316
Section 2.1 Introduction
See book regarding types of variables: categorical, ordinal, numeric, continuous,
discrete. Each variable has observational units. Our book uses upper case for the
variable and lower case for a particular value, i.e. an o
Math 316
Section 2.6 Measures of dispersion
Range of data: Example 2.6.1.
Standard deviation (very important): an approximation of the average distance from
each value in the data to the mean. The standard deviation
is the square root of the
variance . Wh
Math 316 Spring 2014
Exam 3
March 31, 2014
Name: _
Problem
1
2
3
4
Total
Possible
52
22
7
19
100
Received
DO
NOT OPEN YOUR EXAM UNTIL TOLD TO DO SO .
You may use your own textbook, a 3 x 5 card, and a calculator.
There is no sharing.
FOR FULL CREDIT, SHOW
Math 316 Spring20l4
Midterm Exam
1
January 30,20L4
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Problem
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314
sl6
7
819
Total
Possible
t4
23
t9
20
24
r00
Received
Do ror oPEN YoUR EXAM
UNTIL TOLD TO DO SO.
You may use a 3 x 5 card (both sides)
of handwritten notes and a calculator.
There
Math 316 Spring20l4
tol
trt*
Exam
March 31,2014
3
49
Name
N"rcfw_ 71
Au3
7?
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a
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2
J
4
Total
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52
22
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100
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your
UNTIL TOLD TO DO
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x 5 card, and acalculator.
sharing.
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CREDIT, SHow ALL WORK
Math 316
Section 3.3 Probability Rules
There are a number of important and intuitive probability rules. They are listed on Book Pages 94, 95 and 97:
1. The probability of any event
occurring is between 0% and 100%; that is,
.
2. There is a probability of
Math 316
Section 3.2 Introduction to Probability
The probability of an event
occurring is how likely it is to occur, that is, what fraction of the time we
expect it to occur. The theoretical probability of
occurring is
For example, suppose there is a grou
Math 316
Section 2.1 Introduction
See book regarding types of variables and units.
Section 2.2 Frequency Distribution
Frequency distribution: what are the outcomes and how many times did each occur. See Book
Examples 2.2.1 2.2.2.
The relative frequency di
Math 316
Section 3.4 Density Curves
Recall histograms: For a numerical outcome such as weight or height (rather than a categorical outcome
such eye color or gender), we can divide up the outcomes into ranges of values. The more the
numerical ranges (the s
Math 316
Section 3.6 Binomial Distribution
Lets start with an example. You are a 70% free throw shooter and you will shoot 2 free throws. What is
the probability that you will make 1 and miss 1 shot? You could either make and then miss or else miss
and th
Math 316
Section 4.4 Assessing Normality
Note that there is no homework on this section, although the ideas will occasionally come up later.
Normally distributed data is much easier to work with than non-normally distributed data. So how can
we check that
Math 316
Section 4.1 Introduction
Normal distribution: Distribution is what are the outcomes and what fraction of the time to they
occur. Normal is standard or typical. Many types of data are normally distributed (well see
several examples in the coming w