{"title":"The Weight of a Ten-Pound Bag of Potatoes","authors":"Rus May","doi":"10.1080/07468342.2023.2270891","DOIUrl":null,"url":null,"abstract":"SummaryThe weight of a ten-pound bag of potatoes is almost certainly not exactly ten pounds. Rather, it is a random variable with a minimum of ten pounds. We investigate the distribution of these weights in the context of a renewal theorem from the theory of stochastic processes and provide a straightforward demonstration of this theorem using basic tools from calculus. Additional informationNotes on contributorsRus MayRus May (r.may@moreheadstate.edu) teaches math at Morehead State University. He is interested in probability and combinatorics, especially the burgeoning field of analytic combinatorics in several variables. Outside of the classroom he enjoys cooking and eats a lot of potatoes.","PeriodicalId":38710,"journal":{"name":"College Mathematics Journal","volume":"89 12","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"College Mathematics Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/07468342.2023.2270891","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Social Sciences","Score":null,"Total":0}
引用次数: 0
Abstract
SummaryThe weight of a ten-pound bag of potatoes is almost certainly not exactly ten pounds. Rather, it is a random variable with a minimum of ten pounds. We investigate the distribution of these weights in the context of a renewal theorem from the theory of stochastic processes and provide a straightforward demonstration of this theorem using basic tools from calculus. Additional informationNotes on contributorsRus MayRus May (r.may@moreheadstate.edu) teaches math at Morehead State University. He is interested in probability and combinatorics, especially the burgeoning field of analytic combinatorics in several variables. Outside of the classroom he enjoys cooking and eats a lot of potatoes.
一袋10磅重的土豆的重量几乎肯定不是10磅。相反,它是一个最小值为10磅的随机变量。我们在随机过程理论中的一个更新定理的背景下研究了这些权重的分布,并使用微积分的基本工具提供了一个简单的证明。srus MayRus May (r.may@moreheadstate.edu)在莫尔黑德州立大学教授数学。他对概率和组合学很感兴趣,尤其是新兴的多变量分析组合学。在课堂之外,他喜欢做饭,吃很多土豆。