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 5 or equivalent; corequisite ENG 2 and/or RDL 2 if required
TEXT (Bundle): Understanding Basic Statistics by Brase & Brase, 7^{th }ed. (Enhanced WebAssign access card & looseleaf textbook), Cengage Learning.
(7th Edition, ISBN13: 9781337372763, ISBN10: 1337372765)
Calculator: scientific calculator (suggested: TI36X Pro)
Learning Objectives: On successful completion of this course, students will be able to
This course addresses the following General Education Proficiencies: analysis, interpretation,
evaluation, and integration of information to formulate and solve problems; use
of mathematical and scientific methods to formulate and solve problems and to
understand the physical, natural and social worlds. This course may be used to satisfy Category B (Mathematical and
Quantitative Reasoning) of the CUNY Pathways
Required Core.
Topics, Text Sections and Homework: (*optional topics)

SECTION 
TOPIC 
PAGES 
PROBLEMS 
1. Getting Started 
1.1 
What is statistics? 
1012 
115 
1.2 
Random Samples 
1820 
13, 820 


1.3 
Introduction to Experimental Design 
2931 
1, 2, 511 
2. Organizing Data 
2.1 
Frequency Distributions, Histograms, and Related Topics 
5259 
110, 1520 
2.2* 
Bar Graphs, Circle Graphs, and TimeSeries Graphs 
6569 
114 

2.3* 
StemandLeaf Displays 
7376 
19 

3. Averages and Variation 
3.1 
Measures of Central Tendency: Mode, Median, and Mean 
9599 
1, 2, 57, 1228 
3.2 
Measures of Variation 
111114 
121 

3.3 
Percentiles and BoxandWhisker Plots* 
127128 
111 

4. Correlation and Regression 
4.1 
Scatter Diagrams and Linear Correlation 
154157 
118 
4.2* 
Linear Regression and the Coefficient of Determination 
171175 
118 

5. Elementary Probability Theory 
5.1 
What is Probability? 
198200 
14, 720 
5.2 
Some Probability Rules– Compound Events 
215220 
18, 1131 

5.3* 
Trees and Counting Techniques 
229231 
127 

6. The Binomial Probability Distribution and Related Topics 
6.1 
Introduction to Random Variables and Probability Distributions 
248252 
13, 618 
6.2 
Binomial Probabilities 
264269 
127 

6.3 
Additional Properties of the Binomial Distribution 
274278 
18, 1122 

7. Normal Curves and Sampling Distributions 
7.1 
Graphs of Normal Probability Distribution 
297299 
111 
7.2 
Standard Units and Areas Under the Standard Normal Distribution 
309311 
150 

7.3 
Areas Under any Normal Curve 
321324 
130 

7.4 
Sampling Distributions 
331 
19 

7.5 
The Central Limit Theorem 
339343 
120 

7.6 
Normal Approximation to the Binomial Distribution 
350353 
121 

8. Estimation 
8.1 
Estimating μ when σ is Known 
377382 
125 
8.2 
Estimating μ when σ is Unknown 
390395 
122 

8.3* 
Estimating p in the Binomial Distribution 
403407 
127 

9. Hypothesis Testing 
9.1 
Introduction to Statistical Tests 
432436 
124 
9.2 
Testing the Mean μ 
447451 
124 

9.3* 
Testing a Proportion p 
458463 
124 
Suggested Grading Guidelines: Homework, quizzes, oral presentations, projects, etc. (1/3 of grade); Inclass tests (1/3 of grade); Final Exam (1/3 of grade).
SLF 4/09 AW 3/10 RG 5/12 KD 3/15 KD 8/16 KD 7/17