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1、The Review of Probability and statistics,made by fan xuhui,1. A sketch of history and developments of probability,(1) The conceptual theory of probability,Continue.,(2) Practical theory of probability,During the 18th century, many mathematicians and others began to recognize the importance of probab
2、ility as a tool of science and to put probability into practice.For example Thomas Bays developed a famous theorem called Bayess theorem Daniel Bernoulli used probability theory to study the effect of variolation on mortality mathematician Leonhard Euler used the probability to analyze various state
3、 lottery schemes.,continue.,With the appearance of concept of randomness Laplace developed central limit theorem and generalized the Moirs results on the normal distribution. Poisson developed a probability curve called Poisson distribution. Maxwell used probability theory in the study of gases,2. A
4、 sketch of history and developments of statistics,What we need to know is that the types of problems on which they work are elementary by modern standards. Nevertheless, many of the ideas and techniques that they developed are still used regularly today in fields as diverse as the insurance industry
5、 and biological research.,3. difference of probability and statistics,statistics are a branch of applied mathematics and its core ideas can be concluded to two points :( 1) collecting, describing, and interpreting data (2) making decisions and drawing inferences. The property of statistics makes it
6、possible to be used in every aspect of our life Probability is the foundation of statistics. Although probability does not allow to predict something with certainty, it allows us to predict the frequency of some events over the long run,4.application of probability and statistics,Take the U.S. censu
7、s for example. People need to take surveys to collect data about the population in the process of census and to analyze the data,continue,The vaccination can protect people from smallpox infection, but fatality risks associated with vaccination were present. Therefore, the theory of probability was used to compare the relative risk of smallpox attack versus the risk of the vaccine itself.,Thank you,
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