Subject: Probability and Statistics

(Last Updated On: March 20, 2020)

Course Name

PROBABILITY AND STATISTICS

Course Description

Basic principles of statistics; presentation and analysis of data; averages, median, mode; deviations; probability distributions; normal curves and applications; regression analysis and correlation; application to engineering problems.

Prerequisites:

College Algebra

Course Objectives

After completing this course, the student must be able to:

1. Define relevant statistical terms;
2. Discuss competently the following concepts:

2.1. Frequency distribution
2.2. Measures of central tendency
2.3. Probability distribution
2.4. Normal distribution
2.5. Inferential statistics

3. Apply accurately statistical knowledge in solving specific engineering problem situations.

Probability and Statistics Course Outline

Following is the list of topics we will discuss in this course:

Probability and Statistics

LESSON 1: Introduction to Statistics, General uses of Statistics, Fields of Statistics

LESSON 2: DATA COLLECTION, SAMPLING TECHNIQUE, TABULAR REPRESENTATION

LESSON 3: Measures of Central Tendency: Mean, Median, Mode,Shapes of Distributions

LESSON 4: Measures of Variations: RANGE, Deviation, Average Deviation, Variance, Standard Deviation

LESSON 5: Measures of Positions: Quartiles, Inter-quartile Range, Box and Whisker Plot, Percentile and Decile, Standard Scores, Relative Z-Scores

LESSON 6: Correlation and Regression

LESSON 7: Fundamental Principle of Counting, Permutation , Combination, Factorial

LESSON 8: Probability: Subjective Probability, Empirical Probability, Classical Probability, additional rule, conditional probability and the multiplication rule

LESSON 9: Normal Distributions and Standard Distribution, Areas Under the Standard Normal Curve, z-Score, Sampling Distributions, Central Limit Theorem

Suggested References

Sellers, Gene R. and Stephen A. Vardeman. Elementary Statistics, 2nd ed. Saunders College Publishing, 1982. Walpole, Ronald E., et al. Probability and Statistics for Engineers and Scientists, 7th ed. Prentice Hall, Inc., 2002.

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