Home Syllabus Fundamentals of Prob. & Statistics

# Fundamentals of Prob. & Statistics

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##### Unit I: Introduction ————————————————————– 3 hours
1. Statistics and data
2. Quantitative and categorical variables
3. Fundamental elements of a statistical analysis
##### Unit II: Data Collection ——————————————————— 4 hours
1. Sources of data
2. Experimental research
3. Survey research
4. Questionnaire
5. Data preparation:
1. Editing
2. Coding
3. Transcribing
##### Unit III: Tables and Charts —————————————————- 4 hours
1. Steam-and-leaf display
2. Frequency distribution
3. Relative frequency distribution
4. Cumulative
5. Polygon
6. Time-plots
##### Unit IV: Summarizing and Describing Numerical Data —————— 5 hours
1. Measure of central tendency:
1. Mean
2. Median
3. Mode
4. Mid-hinge
2. Measures of variation:
1. Range
2. Inter quartile range
3. Standard deviations
4. Coefficient of variations
3. Shape five-number summary
4. Box-and-whisker plot
##### Unit V: Probability ————————————————————— 5 hours
1. Basic concepts
2. Counting rules
3. Objective and subjective probability
4. Marginal and joint probability
6. Conditional probability
7. Multiplication rules
8. Bays’ Theorem
##### Unit VI: Discrete Probability Distribution ———————————- 5 hours
1. Random variables
2. Mean and standard deviation of discrete random variables,
3. Mathematical
4. Expectation
5. Binomial distribution
6. Poisson distribution
##### Unit VII: Continuous Probability Parameters —————————– 5 hours
1. Normal distribution and its applications
2. Assessing normality
3. Normal approximation of binomial and Poisson distribution
##### Unit VIII: Estimation of Population Parameters ————————– 5 hours
1. Law of large numbers
2. Central limit theorem
3. Statistical confidence
4. Confidence intervals
5. Confidence for means and populations
##### Unit IX: Hypothesis Testing —————————————————- 6 hours
1. Testing of significance
2. P-value approach to hypothesis testing
3. Connection between confidence intervals and hypothesis testing
4. Comparing two means (two sample z and t- test procedures)
5. Comparing two proportions
##### Unit X: Correlation and Regression Analysis —————————— 6 hours
1. Correlation Coefficient
2. Properties
3. Simple Linear Regression Model
4. Residual Analysis
5. Coefficient of Determination
6. Standard Error

## Text Books:

1. Levin, Richard I. And David S. Rubin: Statistics for Management, Prentice-Hall of India