**Title: PROBABILITY DISTRIBUTIONS (Code-09050305)**

**B.Sc. (Hons), Semester-III**

S.No. |
Topic |
Domain |
Hours as per UGC |

1 | Generating functions: Moment generating function and cumulant generating function along with their properties and uses
Chebychev’s inequality Convergence in probability Weak and strong laws of large numbers(Statements only) |
Must know | 14 |

2 | Bernoulli Distribution
Binomial Distribution Poisson Distribution Geometric and hyper-geometric distributions Properties of all above distributions |
Must know | 12 |

3 | Uniform, gamma, beta(first and second kinds) distributions
Exponential distributions Properties of all above distributions |
Must know | 10 |

4 | Normal distribution with its properties
Central Limit Theorem (Statement only) Applications of CLT |
Nice to know | 14 |

Books Recommended:

- Baisnab and M. Jas, Element of Probability and Statistics, Tata McGraw Hill.
- L.Meyer, Introductory Probability and Statistical Applications, Addison-Wesley Publishing Company, 1970.
- C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand & Sons, 2002.