Probability and Statistics

Semester: 1, Code: BCS-113, Credit Hours: 3

Course Contents

- Introduction
- Meaning of statistics
- Importance of statistics in various fields
- Population and Sample
- Variables
- Statistical data

- Statistical Measures of Data
- Measures of Central Tendency, Mean, Median, Mode and quartiles
- Measures of Variation: Range, Standard Deviation, Variance and Coefficient of Variation.

- Sets and Probability
- The concept of a Set
- Set Operations and Algebra of Sets
- Permutations and Combinations
- The Concept of Probability
- Theorems of Probability
- Conditional Probability

- Random Variables and Probability Distribution
- Concepts of a Random Variable
- Discrete Probability Distributions
- Continuous Probability Distributions
- Joint Distribution of two random variables
- Mathematical Expectations

- Special Probability Distributions
- Binomial Distribution
- Poisson Distribution
- Hypergometric Distribution
- Uniform Distribution
- Normal distribution

- Sampling Theory
- Sampling Distribution
- Sampling Distribution of the Mean
- Sampling Distribution of the differences of means
- Sampling Distribution of Proportions
- Sampling Distribution of the Difference of Proportions

- Statistical Inference
- Point estimation
- Properties of a good estimator
- Confidence Intervals
- Statistical Hypothesis
- Testing a Statistical Hypotheses Tests Concerning Means
- Tests Concerning Means
- Tests Concerning Difference between two Means
- Goodness of Fit Test and Test for Independence

- Simple Linear Regression and Correlation
- Simple Linear Regression
- Least Squares estimation of the Regression Parameters
- Inference concerning the Regression Coefficients
- Linear Correlation
- The coefficient of correlation
- Properties of the coefficient of correlation

Prescribed Books

- Ronald E. Walpole, Introduction to Statistics, Latest edition, Macmillan Publishing Co. Inc. New York, 1999.
- I. Miller and J.E Freund, Probability and Statistics for Engineers, 4th Edition, Prentice Hall, 1990.

© 2013. Shaykh Zayed Islamic Center - University of Peshawar. Last Modified: March/05/2016