PROBABILITY AND DECISION MODELS-18MA441

Unit-1 --> ONE DIMENSIONAL RANDOM VARIABLE

• Discrete and Continuous Random Variable
• Moments
• Moment Generating Functions and their Properties
• Standard Distributions: Binomial, Poisson, Exponential and Normal Distributions

Unit-2 --> TWO DIMENSIONAL RANDOM VARIABLES

• Joint Distributions
• Marginal and Conditional Distributions
• Covariance
• Correlation and Regression analysis and their Properties.

Unit-3 --> RANDOM PROCESSES

• Classification
• Stationary Process
• Markov Process
• Markov Chain
• Transition Probabilities
• Limiting Distributions
• Poisson Process and their Properties.

Unit-4 --> QUEUEING MODELS

• Markovian Queues
• Little’s formula
• Single Server Models : (M/M/1):(∞/FIFO) and (M/M/1):(N/FIFO)
• Multi Server Models : (M/M/C):(∞/FIFO) and (M/M/C):(N/FIFO).

Unit-5 --> NETWORK MODELSMENT

• Network Construction
• Critical Path Method (CPM)
• Computations of total, free and independent floats
• PERT Analysis
• Computation of expected time and standard deviation.

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