Week - 1 |
Basic principal of counting, the concept of permutation and its applications, the concept of combination and its applications, binomial theorem |
Week - 2 |
Basic concepts about probability and probability axioms |
Week - 3 |
Conditional probability and Bayes's theorem, geometric probability problems |
Week - 4 |
The concept of random variable, probability function, probability density function |
Week - 5 |
Distribution function |
Week - 6 |
Expected value and moments, expected value of random variable and its variance, moment generating function and moments |
Week - 7 |
Bernoulli distribution, binomial distribution |
Week - 8 |
Hipergeometric distribution, geometric distribution |
Week - 9 |
Poisson distribution |
Week - 10 |
Uniform distribution, exponential distribution |
Week - 11 |
Relationship between Poisson distribution and exponential distribution |
Week - 12 |
Normal distribution and its features - I |
Week - 13 |
Normal distribution and its features - II |
Week - 14 |
Normal distribution and its features - III |