MATH 1102: Probability & Statistics

Course Description

This course introduces students to the basic concepts of descriptive statistics and probability. By the end of the course, students should be able to select a sample, organize and summarize the data to derive scientific meaning from it. Course content: Basic nature of probability and statistics, frequency distributions and graphs, data description, AND probability and counting techniques. Nature of   probability and statistics: descriptive and inferential statistics, variables, types of data, scales of measurement, data collection, sampling techniques. Frequency distributions and graphs: organizing data, categorical frequency distribution, ungrouped frequency distribution, grouped frequency distribution, organizing data as a graph. Data description: measures of central tendency, measures of variation, measures of position, exploratory data analysis. Probability and counting techniques: sample space and probability, addition rules, multiplication rules, conditional probability, counting rules.

Course Objectives:

By the end of this course, students should be able to:

1. Explain the basic nature of probability and statistics, and distinguish between descriptive and inferential statistics.
2. Identify different types of data, variables, and measurement scales.
3. Apply methods of data collection and sampling techniques.
4. Construct and interpret frequency distributions and graphical representations of data.
5. Compute and interpret measures of central tendency, variation, and position.
6. Perform exploratory data analysis to summarize and describe data sets.
7. Use probability rules, including addition, multiplication, and conditional probability.
8. Apply counting techniques such as permutations and combinations.
9. Develop discrete probability distributions and calculate their mean, variance, and expectation.
10. Apply properties of the normal distribution and the standard normal distribution.

Required Materials:

• Bluman, A. G. (2018). Elementary Statistics: A Step-by-Step Approach (10th ed.). McGraw-Hill Education.
• Triola, M. F. (2018). Elementary Statistics (13th ed.). Pearson.
• A scientific calculator.
• Notebook and graph paper for classwork and assignments.