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The other chapters that I didn't write are because I didn't take the exam... I didn't read it.
probability theory
Chapter 1: Random Events and Probability
[Probability Theory and Mathematical Statistics] Dr. Monkey’s Notes p1-p2 Classical and Geometric Probabilities
[Probability Theory and Mathematical Statistics] Dr. Monkey’s Notes p3-4 Probability of events and independence of events
[Probability Theory and Mathematical Statistics] Dr. Monkey Notes p5-7 Conditional probability, total probability formula, Bayesian formula
Chapter 2: Discrete Random Variables
[Probability Theory and Mathematical Statistics] Dr. Monkey's Notes p8-10 One-dimensional, two-dimensional discrete distribution law, two-dimensional discrete type marginal distribution law [Probability Theory and Mathematical Statistics] Dr. Monkey's Notes p11-14 One-dimensional, two-
dimensional Discrete calculation of distribution function and expectation, variance
Chapter 3: Continuous Random Variables
[Probability Theory and Mathematical Statistics] Dr. Monkey’s Notes p15-16 1. Finding probability in two-dimensional continuous form
[Probability Theory and Mathematical Statistics] Dr. Monkey’s Notes p17-20 1. Two-dimensional continuous form: F is known, find f; known f, Find f
[Probability Theory and Mathematical Statistics] Dr. Monkey's Notes p21-23 Two-dimensional continuous type to find the marginal distribution function and density function, two known marginal density functions to find f(x,y) [Probability Theory and Mathematical Statistics
] Dr. Monkey's Notes p24-25 Conditional probability density function, find the distribution of the function formed by two random variables (the latter is skipped)
[Probability Theory and Mathematical Statistics] Dr. Monkey's Notes p26-28 The properties of F, f, 1, 2 Finding Expectation and Variance of Dimensional Continuous Type
Chapter 4: Common Distributions
[Probability Theory and Mathematical Statistics] Dr. Monkey’s Notes p29-32 Uniform Distribution, Poisson Distribution, Exponential Distribution, Geometric Distribution [
Probability Theory and Mathematical Statistics] Dr. Monkey’s Notes p33-35 Hypergeometric Distribution, Normal Distribution, Binomial Distribution
Chapter 5: Numerical characteristics of random variables, limit theorem
[Probability Theory and Mathematical Statistics] Dr. Monkey's Notes p36-37 Covariance, Correlation Coefficient, Uncorrelated, Expectation and Variance When Independent of Each Other [Probability Theory and Mathematical Statistics] Dr. Monkey's Notes p38-40 Chebyshev Inequality, Law of Large
Numbers , central limit theorem