-PAGE\*MERGEFORMATIV-摘要MATLAB作为世界顶尖的数学应用软件，以其强大的工程计算、算法研究、工程绘图、应用程序开发、数据分析和动态仿真等功能，在很多领域发挥着越来越重要的作用。本论文主要研究基于MATLAB的概率统计可视化实验系统的设计与实现。本系统的设计主要实现常见分布函数图像的可视化。本文利用MATLAB软件，结合概率论的学习体会，设计出概率论知识体系中常见的分布图像绘制的系统。可视化设计是本系统设计的重点，本系统的实现的基本绘图功能有：常见离散分布（超几何分布、二项分布、泊松分布）的分布列图的绘制；常见连续分布（正态分布、均匀分布、指数分布）的密度函数图，分布函数图的绘制。通过基于MATLAB的概率统计可视化实验系统的设计与实现，本论文在促进教育思想观念的转变和促进学生创新能力和实践能力的培养等方面将起到积极的作用；另一方面；数学实验系统将促进教学手段的现代化和学生掌握先进的数学工具的步伐。关键词：数学实验；概率论；图形界面；GUIAbstractAsthebestapplicationsoftwareinmathematics,MATLABhasbecomingmoreandmoreimportantinmanyareasduetoitspowerfulfunctionsuchasengineeringcalculation,algorithmresearch,engineeringdrawing,applicationdevelopment,analysisofdateanddynamicsimulation.ThispaperisfocusonthedesignandapplicationofvisualexperimentsystemonthefoundationoftheprobabilityandstatisticofMATLAB.Themaindesignofthissystemisthevisibilityofcommondistributionfunction.Inthispaper,theauthorusedMATLABtodesignthesystemofdistributiondrawingwhichisusualappearedintheknowledgehierarchyofprobabilitytheory.Thedesignofvisiblesystemistheemphasisofthissystem,Thesystemcanrealizemanyfunctionsincludethedrawingofthescattergramincommondiscretedistribution(hypergeometricdistribution,binomialdistributionandexponentialdistribution),thedrawingofdensityfunctiondiagramanddistributionfunctionofthefigureincommoncontinuousdistribution(normaldistribution,uniformdistribution,exponentialdistribution).Accordingtothedesignandapplicationofthisvisiblesystem,thispaperwouldhaveapositiveeffectonthetransformofeducationalideology.Italsohasagreatpromotionforstudentstofostertheirabilitiesofinnovationandexperiment.Ontheotherside,thetestingsystemofmathematicswillalsoencouragethemodernizingofteachingwayandtheusingofadvancedmathematicaltools.Keyswords:MathematicsExperiment，StatisticTheory，VisualInterfaceSystem，MATLABGUI目录TOC\o"1-4"\h\z\uHYPERLINK\l"_Toc327109682"摘要PAGEREF_Toc327109682\hIHYPERLINK\l"_Toc327109683"ABSTARCTPAGEREF_Toc327109683\hIIHYPERLINK\l"_Toc327109684"1绪论PAGEREF_T