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Bronx Community College of the City University of New York
Department of Mathematics and Computer Science
Syllabus: MTH 23 Probability and Statistics (3 credits, 3 hours per week)
Prerequisite: MTH 04 or equivalent; co-requisite ENG 02 and/or RDL 02 if required
TEXT: Understanding Basic Statistics by Brase & Brase, BROOKS/COLE, Cengage
Learning. (5th Edition, ISBN 978-0-547-13249-5)
1. Getting
Started
2. Organizing
Data
SECTION
1.1
1.2
1.3
2.1
2.2
2.3
3.1
3. Averages
and Variation
3.2
3.3
4.1
4. Correlation
and Regression
5. Elementary
Probability
Theory
6. The
Binomial
Probability
Distribution
and Related
Topics
7. Normal
Curves and
4.2
5.1
5.2
5.3
6.1
6.2
6.3
7.1
TOPIC
What is statistics?
Random Samples
Introduction to Experimental Design
Frequency Distributions, Histograms,
and Related Topics
Bar Graphs, Circle Graphs, and
Time-Series Graphs
Stem-and-Leaf Displays
Measures of Central Tendency:
Mode, Median, and Mean
Measures of Variation
Percentiles and Box-and-Whisker
Plots
Scatter Diagrams and Linear
Correlation
Linear Regression and the
Coefficient of Determination
What is Probability?
Some Probability Rules– Compound
Events
Tree Diagrams and Counting
Techniques
Introduction to Random Variables
and Probability Distributions
Binomial Probabilities
Additional Properties of the Binomial
Distribution
PAGES
10-11
17-18
26-27
44-48
Graphs of Normal Probability
Distribution
PROBLEMS
1-13
1-16
1-6
1-17
54-56
1-12
60-63
81-83
1-10
1-14
93-98
105-107
1-17
1-10
130-133
1-18
144-147
1-14
164-166
180-184
1-13
1-23
192-194
1-27
210-213
1-14
222-225
230-232
1-18
1-15
248-250
1-11
Sampling
Distributions
7.2
7.3
7.4
7.5
7.6
8. Estimation
9. Hypothesis
Testing
slf 4/09
8.1
8.2
8.3
9.1
9.2
9.3
Standard Units and Areas Under the
Standard Normal Distribution
Areas Under any Normal Curve
Sampling Distributions
The Central Limit Theorem
Normal Approximation to the
Binomial Distribution
Estimating μ when σ is Known
Estimating μ when σ is Unknown
Estimating p in the Binomial
Distribution
Introduction to Statistical Tests
Testing the Mean μ
Testing a Proportion p
259-260
1-48
270-274
278-279
286-289
294-296
1-35
1-9
1-17
1-13
316-319
326-330
338-341
1-20
1-20
1-20
363-366
378-382
389-393
1-14
1-22
1-22