# BBM 212 QUANTITATIVE TECHNIQUES Pdf notes – MKU university

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### TOPIC 1: SET THEORY

1.1 Introduction
1.2 Set Builder Notation
1.3 Complement of a Set
1.4 Venn diagrams
1.5 Numbers in Regions
1.6 Revision Exercise

### TOPIC 2: PROBABILITY

2.1 Introduction
2.2 Definitions
2.3 Axiomatic Approach to Probability
2.4 Mutually exclusive events
2.5 Dependent events
2.6 Independent events
2.7 Sample Space:
2.8 Conditional Probability4
2.9 Bayes’ Theorem
2.10 Tree Diagrams
2.11 Revision Exercise

### TOPIC 3: MEASURES OF CENTRAL TENDENCY

3.1 Averages
3.2 Arithmetic Mean
3.3 The Median
3.4 The Mode

3.5 Weighted Mean
3.6 Geometric mean
3.7 Harmonic mean
3.8 Relationship Between The Arithmetic Mean, The Median And The Mode
3.9 Revision Exercise
Suggested References

### TOPIC 4: MEASURES OF DISPERSION AND MEASURES OF KURTOSIS

4.1 Introduction
4.2 Range
4.3 The Quartile Deviation Or Semi-Interquartile Range
4.4 Deciles and Percentiles
4.5 Mean Absolute Deviation
4.6 Population and sample
4.7 Variance and standard deviation
4.8 Kurtosis
4.9 Revision Exercise
Suggested References

### TOPIC 5: Equations and Inequalities

5.1 Definition of an equation
5.2 Properties of equality
5.3 Terms used in equations
5.4 Variables
5.5 Types of equations
5.6 Linear / simple equations
5.7 Linear inequalities
5.8 Graphing A Linear Inequality
1.7 Revision Exercise

### TOPIC 6: Linear programming

6.1 Introduction
6.3 Limitations of Linear Programming
6.4 Applications of Linear Programming
6.5 Mathematical formulation of Linear Programming problems
6.6 Solving Linear Programming Problems Graphically
6.7 Revision exercise
Suggested References

### Topic 7: UTILITY AND UTILITY FUNCTIONS

7.1 Utility Theory in Consumer Behavior
7.2 Utility Theory and Demand
7.3 Utility Functions
7.4 Assumptions on Preferences
7.5 Marginal Rate of Substitution
7.6 Multi-Attribute Utility Theory
7.7 Revision Questions
Suggested References:
Sample Papers

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