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Catalogue of engineering mathematics books
Article 1 Probability and Statistics

Chapter 65438 +0 Basic knowledge of probability theory

1. 1 random test, sample space, random events

1.2 frequency and probability

1.3 classical probability

1.4 geometric probability

Axiomatic definition of 1.5 probability

1.6 counting basis

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Exercise 1

Chapter II Conditional Probability and Independence of Events

2. 1 conditional probability

2.2 Total probability formula and Bayesian formula

2.3 independence of events

2.4 Bernoulli test probability and binomial probability

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Exercise 2

Chapter III Random Variables and Their Distribution

3. 1 random variable and its distribution function

3.2 Discrete random variables

3.3 Continuous random variables

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Exercise 3

Chapter 4 Two-dimensional Random Variables and Their Distribution

4. 1 two-dimensional random variable

4.2 Two-dimensional discrete random variables

4.3 Two-dimensional continuous random variables

4.4 Edge distribution

4.5 Independence of random variables

4.6 Conditional distribution

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Exercise 4

Chapter V Functions of Random Variables and Their Distribution

5. 1 Function and distribution of one-dimensional random variables

5.2 Functions and distributions of two-dimensional random variables

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Exercise 5

Chapter VI Numerical Characteristics of Random Variables

6. 1 Mathematical expectation

6.2 Variance and standard deviation

6.3 Covariance and correlation coefficient

6.4 Chebyshev Inequality and Law of Large Numbers

6.5 Central Limit Theorem

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Exercise 6

Chapter VII Statistical Basis

7. 1 research object of statistics

7.2 Population and sample

7.3 What is statistics?

7.4 Characteristics and statistical ideas of statistical methods

Chapter VIII Statistics and Sampling Distribution

8. 1 Statistics

8.2 Sampling distribution

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Exercise 8

Chapter 9 Parameter Estimation

Chapter 10 Hypothesis Test

Chapter II Discrete Mathematics

symbol table

Chapter 1 1 Mathematical Logic

Chapter 12 Collection

Chapter 13 relations and functions

Chapter 14 Algebraic System

Chapter 15 Graph Theory