**PART A: STATISTICS**

**Introduction to Statistics**

**Measures of Location**

- Knowledge of central tendency or location
- Know about arithmetic mean
- Explanation of geometric mean
- The proper explanation of harmonic mean
- Acquire the suitable knowledge of median
- Know the exact meaning of mode
- Quartiles dectiles and percentiles are the important part of the statistics

** Measures of Dispersion**

**Measures of Skewness and Kurtosis**

**Correlation and Regression**

- Bivariate distribution
- Coefficient of correlation
- Regression of equations
- Rank correlation
- Correlation of bivariate frequency distribution
- Multiple regression
- Curvilinear regression

**Probability**

- Theorem of total probability addition theorem
- Theorem of compound probability multiplication theorem
- Independent events
- Subjective probability

**Probability Distributions**

**Some Probability Distributions**

**Sampling Theory**

- What is sampling
- Types sampling
- What is the use of random numbers
- Parameter and statistic
- Sample distribution of mean
- Sampling distribution of sample variance
- Sampling distribution of sample proportion

**Estimation of Parameters**

**Testing of Hypothesis**

- Statistical hypothesis and related terms
- Test for large samples n 30
- Testing of small samples
- Testing of proportion
- Testing of single variance
- Testing of equality of two variances
- Goodness of fit test

**Analysis of Variance**

- Analysis of variance introduction
- Completely randomized design c r d one way classification
- Randomized block design two way classification r b d

**Stochastic Process**

- Definition of stochastic process
- Markov process and markov chain
- Classification of the states of markov chain
- Steady state probabilities
- Entrance probability theorem

**PART B: OPERATIONS RESEARCH
**

**Linear Programming**

- Introduction operations research
- Introduction to linear programming problems lpp
- Graphical method
- Simplex method
- Big m method
- Two phase method
- Formulation problems
- Revised simplex method rsm

**Transportation Problems**

- Introduction and mathematical formulation in transportation problems
- Finding initial basic feasible solution
- Uv method or modi method
- Degeneracy in t p
- Max type t p
- Unbalanced t p

**Assignment Problems**

- Introduction and mathematical formulation
- Hungarian algorithm
- Unbalanced assignments
- Max type assignment problems
- Routing problems

**Queuing Theory**

- Queuing theory introduction
- Basic elements of queuing model
- Kendalls notation
- Queuing models based on birth and death processes
- Mm1 fifon model
- Mms fifo model
- Mms fifon 5 model
- Non poisson queuing models

**Inventory Control**

- Inventory control introduction
- Inventory control notations
- Model i purchasing model without shortage
- Model ii purchasing model with shortage
- Model iii manufacturing model without shortage
- Model iv manufacturing model with shortage
- Probabilistic models

**Simulation**

- Simulation introduction
- Basic concepts of simulation
- Random numbers
- Simulation methods
- Simulation applications

**Network Scheduling by CPM/IPERT**

- Time calculations in network
- Program evaluation and review technique pert
- Elements of crashing a network

**Game Theory**