first course in probability

Finish writing this question and quickly open a new question ...Say this question let me re-turn the probability of the textbook, sure enough, and then returned to the teacher, no eggs.Many people take this great God's work, and I share it with you.For a brief explanation of the formula here. Because I also understand for a while to understand.TIPs:1. Set D[i] to have the expected value of the bonus after I answer the first question correctly. 2,

PHP winning probability algorithm, can be used for scraping cards, large turntable, such as lottery algorithm. The usage is very simple, the code has the detailed annotation explanation, at a glance can understand $proCur) { $randNum = Mt_rand (1, $proSum); if ($randNum $result = $key; Break } else { $proSum-= $proCur; } } Unset ($PROARR); return $result; } /* * Awards Array * is a two-dimensional array that records all the awards info

Http://zhangxw.gotoip1.com/ZCL/part2/C11g.htmTwo distributions of probability and multiple distributionsThis chapter uses the two-item distribution and the multi-item distribution formula in probability theory, and gives a brief explanation here.An event is bound to occur, saying that it is 100% to appear. 100%=1, so the meaning of 100% appears is the probability

The probabilistic graphical model series is explained by Daphne Koller In the probabilistic graphical model of the Stanford open course. Https://class.coursera.org/pgm-2012-002/class/index) Main contents include (reprinted please indicate the original source http://blog.csdn.net/yangliuy) 1. probabilistic Graph Model Representation and deformation of Bayesian Networks and Markov networks. 2. Reasoning and inference methods, including Exact Inference (

The probabilistic graphical model series is explained by Daphne Koller In the probabilistic graphical model of the Stanford open course. Https://class.coursera.org/pgm-2012-002/class/index) Main contents include (reprinted please indicate the original source http://blog.csdn.net/yangliuy) 1. probabilistic Graph Model Representation and deformation of Bayesian Networks and Markov networks. 2. Reasoning and inference methods, including Exact Infer

In the algorithm introduction book see a more interesting probability algorithm, here add their own understanding to share under: The last time I just saw the friends of the circle said:" two people in the same dormitory, and the same year, the same day, this fate is really drunk ", I was drunk, looked at the algorithm after the discovery, the house has a person, then you can The probability of 50% birthda

Title DescriptionXiao Ming is very interested in the probability problem recently. One day, Xiao Ming and Xiao Red play a probability game, first Xiao Ming gives a letter and a word, and then by the small red to calculate the probability that the letter appears in this word. Letters are case insensitive.For example, the given letter is a and the word is Apple, th

The learning content of probability theory and mathematical statistics originates from Chinese university MOOC, and the fourth edition of the book "Probability Theory and Mathematical Statistics", Zhejiang University.Random PhenomenaUnder certain conditions, it is possible to have a variety of results, and can not know the result before it happens.Randomised TrialsConcept: Observing, recording and experimen

Classification method based on probability theory in Python programming: Naive Bayes and python bayesian Probability Theory and probability theory are almost forgotten. Probability theory-based classification method: Naive Bayes 1. Overview Bayesian classification is a general term for classification algorithms. These

Reprint http://noalgo.info/414.htmlProbability theory is one of the most important basic subjects in computer science, and the probability problem is also a frequently encountered issue in the process of job search.Here is a summary of some of the classic probability questions as an exercise.1. Randomly select a point in a circle with a radius of 1.Method 1: Randomly select a point on the x-axis [ -1,1],y a

Probability Theory and mathematical statistics,1. Random Events Deterministic phenomenon: a phenomenon that inevitably occurs under certain conditions is called a deterministic phenomenon. Features: conditions completely determine the results. Random phenomenon: a phenomenon that may or may not occur under certain conditions is called a random phenomenon; feature: the condition cannot completely determine the result. Random phenomena are investigated

Title Description Transmission Door The main problem: a pocket of chocolate, chocolate color has c species. Now take out a chocolate from your pocket, if theChocolate is the same color as chocolate on the table, take two chocolates away, or put the chocolate out on the table.The probability of extracting each color of chocolate from the pocket is equally equal. To remove the n chocolate and the remaining M-G on the tableThe

, and the police catch you immediately. But if there is at least one EJ, you can either fool around the police by staying in the current junction for 5 minutes (actually you just hide there, so the police lose your track thinking which road you might have taken), or you can choose to go to any EJ. the probability of choosing to stay in the current junction or to go to each of the EJ is equal. for example, from the current junction you can go to three

In the R language, different distributions can be generated for experimentation and learning.In R, the probability function is shaped like ①:where the first letter denotes one aspect of the distribution that it refers to:D = density function (density)p = Distribution functions (distribution function)Q = number of decimal functions (quantile function)R = Generate random number (random deviation)Common probability