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Course Info

About this Course

This subject will provide students with the basic knowledge of probability and statistics and its application in other disciplines. The topics included in this subject will provide a platform for students who will be taking statistics at the higher level. Among the concepts introduced are descriptive statistics, probability concepts, and special probability distributions. Materials learned in this course will also require some basic knowledge of calculus.

Course Syllabus

Descriptive Statistics
Frequency Distribution

Measures of Central Tendency: Calculation on Mean, Median and Mode (ungrouped and group data)

Measures of Dispersion (or Variability): Calculation of standard deviation

Measures of Dispersion (or Variability): Skewness and its coefficient

Measures of Dispersion (or Variability): Coefficient of variation

Probability
Concepts of Probability:
Sample Space,Simple event,Disjoint Event or Mutually Exclusive Event, Law of Additional and
Multiplication, Independent Events, Joint Probability, Conditional Probability

Probability Tree Diagram and Bayes' Theorem

Counting: Arrangement,Permutation and Combination

Discrete Random Variables
Classification of a Discrete Random Variables

Probability Distribution of a Discrete Random Variable

Expectation of a Discrete Random Variable

Variance of a Discrete Random Variable

Continuous Random Variables
Classification of a Continuous Random Variables

Probability Distribution of a Continuous Random Variable

Expectation of a Continuous Random Variable

Variance of a Continuous Random Variable

Special Discrete Distributions
Bernoulli Distribution and Binomial Distribution: Binomial Probability Distribution, Mean and Variance of a Binomial
Distribution.

Poisson Distribution: Poisson Probability Distribution, Mean and Variance of a Poisson Distribution.

Poisson Distribution as an approximation to the Binomial Distribution.

Normal Distributions
Characteristics of a Normal Probability Distribution

The Standard Normal Probability Distribution

Application of the Standard Normal Distribution

Areas Under the Normal Curve

Normal Distribution as an approximation to the Binomial Distribution.

Frequently Asked Questions

Q1 : What is probability?
A1 : Probability is the likelihood or chance of an event occurring.