Chapter Number | Topics to be covered |
---|---|

Chapter 1 | Introduction into descriptive statistics. |

Chapter 2 | Events, sample spaces, axioms of probability, conditional probabilities, Bayes' formula, independent events. |

Chapter 3 | Random variables; discrete random variables and their expected values, binomial, negative binomial, hypergeometric and Poisson distributions. |

Chapter 4 | Continuous random variables: CDF, PDF and expected values; uniform, exponential, normal and gamma distributions. |

Chapter 5 | Joint probability distributions, expected values, covariance and correlation, sums and averages of random variables, the Central Limit Theorems. |

Chapter 6 | Point estimation. |

Chapter 7, | Interval estimation based on a single sample. |

Chapter 8 | Tests of hypotheses based on a single sample. |

Chapter 9 | Inferences based on two samples. |

Chapter 14 | Goodness-of-fit tests and contingency tables. |

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