# Syllabus

WEEK |
TOPICS |
CHAPTERS |
---|---|---|

1 | Probability : Sample Space, Events, Counting , Probability of an Event, Additive Rules |
2.1 - 2.5 |

2 | Conditional Probability, Independence, Product Rules, Bayes’ Rule |
2.6 - 2.7 |

3 | Random Variables and Probability Distributions |
3.1 - 3.3 |

4 | Joint Probability Distributions |
3.4 |

5 | Mathematical Expectation |
4.1 - 4.4 |

6 | Discrete Probability Distributions: Binomial and Multinomial Distributions |
5.1 - 5.2 |

7 | Discrete Probability Distributions: Hypergeometric Distribution, Negative Binomial |
5.3 - 5.4 |

8 | Discrete Probability Distributions : Geometric Distribution, Poisson Distribution |
5.5 |

9 | Continuous Probability Distributions : Normal Distribution |
6.1 - 6.4 |

10 | Continuous Probability Distributions : Normal Approximation to the Binomial |
6.5 |

11 | Continuous Probability Distributions : Gamma and Exponential Distributions |
6.6 - 6.7 |

12 | Sampling Distributions : Sample Distribution of Means and The Central Limit Theorem , Sample Distribution of and |
8.1 - 8.4 |

13 | One- and Two-Sample Estimation Problems :Statistical Inference, Estimating the Mean, Confidence Intervals, Prediction Intervals, Estimating the Variance |
9.1 - 9.4 |

14 | One- and Two-Sample Tests of Hypotheses: General Concepts, Testing a Statistical Hypothesis, Single Sample,Tests Concerning a Single Mean |
9.5 - 9.7 |