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概率考研数学三(国外英文资料)
概率考研数学三(国外英文资料)
Probability theory and mathematical statistics
Random events and probabilities
Exam content
Random events and the sample space and the relationship between operation complete event group probability concept of probability and the probability of the basic nature of ancient typical geometrical probability of the basic formulas of conditional probability event the independence of the independent repeated trials
Test requirements
Understand the concept of the sample space (basic event space), understand the concept of random events, and grasp the relationship and operation of events.
2. Understand the concept of probability, conditional probability, to master the basic properties of probability, calculates the ancient classic probability and geometrical probability, mastering the probability formula of addition, subtraction, multiplication formula, the formula of full probability formula and Bayes (Bayes theorem) formula, etc.
Understand the concept of independence of events, and master the probability calculation using event independence; Understand the concept of independent repetition test and grasp the method of calculating the probability of events.
Second, random variables and their distributions
Exam content
The concept of random variable is a random variable distribution function and its properties of discrete random variable probability distribution of the continuous random variable probability density of the common distribution of random variable function distribution of a random variable
Test requirements
Understand the concept of random variables and understand the distribution functions
(a)
The concepts and properties of the events that are associated with random variables are calculated.
2. Understand the concept of discrete random variables and their probability distribution, grasp the 0-1 distribution, binomial distribution, geometric, hypergeometric distribution, Poisson distribution (Poisson) and its application.
Grasp the conclusion a
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