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INTRODUCTION TO PROBABILITY AND STATISTICS
INTRODUCTION TO PROBABILITY AND STATISTICS
This subject will provide students with the basic knowledge of probability and descriptive statistics and its application. The topics included in this subject will provide a platform for students who will be taking statistics at higher level. Among the concepts introduced are descriptive statistics, probability and special probability distributions. Materials learned in this course will also require some basic knowledge in calculus.
1. Descriptive Statistics
1.1) Types of Statistics
1.2) Variables and Types of Data
1.3) Data Collection and Sampling Techniques
1.4) Organizing Data (Graphing Quantitative Data; Graphing Qualitative Data)
1.5) Data description (Measures of Central Tendency; Measures of Dispersion; Coefficient of Variation; Measures of Skewness)
2. Probability and Counting Rules
2.1) Sample Spaces and Probability
2.2) Counting Rules (Permutations; Combinations)
2.3) The Addition Rules of Probability
2.4) The Multiplicative Rules and Conditional Probability
2.5) Bayes’ Theorem
using contigency table to solve probability problem.
3. Discrete Random Variables and Probability Distributions
3.1) Concept of a Random Variable
3.2) Discrete Probability Distributions
3.2.1 Probability Mass Functions;
3.2.2 Mathematical Expectations
3.3) Special Discrete Probability Distributions
3.3.1 Uniform;
3.3.2 Binomial;
3.3.3 Poisson;
3.3.4 Poisson Approximation to the Binomial Distribution
Video for Section 3.1 & 3.2
For more explanation on random variables
Video for Section 3.2.1
Please refer to google classroom for exercises.
Video for Section 3.2.2
Please refer to google classroom for exercises.
Solving probability using cumulative distribution function
4. Continuous Random Variables and Probability Distributions
4.1) Continuous Probability Distributions (Probability Mass Functions; Mathematical Expectations)
4.2) Special Continuous Probability Distributions (Uniform; Normal; Normal Approximation to the Binomial Distribution; Normal Approximation to the Poisson Distribution)
Example of Research STA116.pdfPage updated
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