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• Week 1: Basic concept of probability along with their definitions.
• Week 2: Numerical problems for understanding the basic concepts of Probability.
• Week 3: Rules of multiplications, combination and permutations of events.
• Week 4: Random variable and random experiments along with their properties and examples.
• Week 5:Mean, variance and standard deviation. Purpose and uses of these measures.
• Week 6: Chebyshev's inequality its uses and applications
• Week 7: Independence of random variables
• Week 8: Multiplicative and additive properties of expectation and variances.
• Week 9: Discrete and Continuous random variables.
• Week 10: Uniform distribution, its properties and applications.
• Week 11: Poisson and uniform distribution, its properties and applications.
• Week 12: Exponential distribution with its properties and applications and Numerical Question
• Week 13: Gamma distribution with its properties and applications.
• Week 14: Normal distributions, its application and properties.
• Week 15: Law of large numbers. Types of Law of large numbers and numerical problems
• Week 16: Markov Chain and continuous Markov Process.