{"title":"概率论应用:","authors":"Peter W. Jones","doi":"10.1080/00401706.1990.10484744","DOIUrl":null,"url":null,"abstract":"The binomial distribution is as important as any distribution in probability. It is quite simply the description of the outcome of throwing a coin n times. The binomial coefficient graph of Section 15 is reproduced here as Figure 1 with only slight modification. Each node is an intersection. We start at the top node which is on level 0 and proceed to higher levels by making left and right turns at each level. Any intersection on a particular level can be characterized by the number of left turns it takes to get there. For example, the second intersection from the left on level 3 is denoted by the binomial coefficient because it is on","PeriodicalId":281730,"journal":{"name":"An Invitation to Modern Number Theory","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Applications of Probability:\",\"authors\":\"Peter W. Jones\",\"doi\":\"10.1080/00401706.1990.10484744\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The binomial distribution is as important as any distribution in probability. It is quite simply the description of the outcome of throwing a coin n times. The binomial coefficient graph of Section 15 is reproduced here as Figure 1 with only slight modification. Each node is an intersection. We start at the top node which is on level 0 and proceed to higher levels by making left and right turns at each level. Any intersection on a particular level can be characterized by the number of left turns it takes to get there. For example, the second intersection from the left on level 3 is denoted by the binomial coefficient because it is on\",\"PeriodicalId\":281730,\"journal\":{\"name\":\"An Invitation to Modern Number Theory\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"An Invitation to Modern Number Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00401706.1990.10484744\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"An Invitation to Modern Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00401706.1990.10484744","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The binomial distribution is as important as any distribution in probability. It is quite simply the description of the outcome of throwing a coin n times. The binomial coefficient graph of Section 15 is reproduced here as Figure 1 with only slight modification. Each node is an intersection. We start at the top node which is on level 0 and proceed to higher levels by making left and right turns at each level. Any intersection on a particular level can be characterized by the number of left turns it takes to get there. For example, the second intersection from the left on level 3 is denoted by the binomial coefficient because it is on