SlideShare a Scribd company logo

Let X1,X2, . . . be a sequence of independent identically distribute.pdf

•
•
A
airflyluggage

Let X1,X2, . . . be a sequence of independent identically distributed random variables with finite mean and variance. Show that the sequence Yn = Xn/n converges to zero, with probability 1. Solution Y1 = X1/1, Y2 = X2/2, Y3 = X3/3... Yn = Xn/n According to Levy\'s theorem, The independent random variables Sn = X1 ,.

Education
1 of 1
Download to read offline
Let X1,X2, . . . be a sequence of independent identically distributed random variables with finite mean and variance. Show that the sequence Yn = Xn/n converges to zero, with probability 1. Solution Y1 = X1/1, Y2 = X2/2, Y3 = X3/3... Yn = Xn/n According to Levy's theorem, The independent random variables Sn = X1 ,

Recommended

Linear Algebra, please show work, and explanation, thank you!Sol.pdf
Linear Algebra, please show work, and explanation, thank you!Sol.pdfLinear Algebra, please show work, and explanation, thank you!Sol.pdf
Linear Algebra, please show work, and explanation, thank you!Sol.pdfairflyluggage
 
Linear Algebra Project Urban Population Dynamics This project is.pdf
Linear Algebra Project Urban Population Dynamics This project is.pdfLinear Algebra Project Urban Population Dynamics This project is.pdf
Linear Algebra Project Urban Population Dynamics This project is.pdfairflyluggage
 
Linear Algebra please show all work Linear Algebra please show all w.pdf
Linear Algebra please show all work Linear Algebra please show all w.pdfLinear Algebra please show all work Linear Algebra please show all w.pdf
Linear Algebra please show all work Linear Algebra please show all w.pdfairflyluggage
 
Linear Algebra Help- I cant understand where to start in this. Could.pdf
Linear Algebra Help- I cant understand where to start in this. Could.pdfLinear Algebra Help- I cant understand where to start in this. Could.pdf
Linear Algebra Help- I cant understand where to start in this. Could.pdfairflyluggage
 
limit as x goes to infinity of cos(1 x) Solutionrepresent .pdf
limit as x goes to infinity of cos(1 x) Solutionrepresent .pdflimit as x goes to infinity of cos(1 x) Solutionrepresent .pdf
limit as x goes to infinity of cos(1 x) Solutionrepresent .pdfairflyluggage
 
Lily and sara each had an equal amount of money at first. After Lily.pdf
Lily and sara each had an equal amount of money at first. After Lily.pdfLily and sara each had an equal amount of money at first. After Lily.pdf
Lily and sara each had an equal amount of money at first. After Lily.pdfairflyluggage
 
Likely reasons for inaccurate control limits would include which of .pdf
Likely reasons for inaccurate control limits would include which of .pdfLikely reasons for inaccurate control limits would include which of .pdf
Likely reasons for inaccurate control limits would include which of .pdfairflyluggage
 
lim 4x^3+6x^2-2 2x^3 -4x+5 when x approaches negative infinity .pdf
lim 4x^3+6x^2-2 2x^3 -4x+5 when x approaches negative infinity .pdflim 4x^3+6x^2-2 2x^3 -4x+5 when x approaches negative infinity .pdf
lim 4x^3+6x^2-2 2x^3 -4x+5 when x approaches negative infinity .pdfairflyluggage
 

Recommended

Linear Algebra, please show work, and explanation, thank you!Sol.pdf
Linear Algebra, please show work, and explanation, thank you!Sol.pdfLinear Algebra, please show work, and explanation, thank you!Sol.pdf
Linear Algebra, please show work, and explanation, thank you!Sol.pdfairflyluggage
 
Linear Algebra Project Urban Population Dynamics This project is.pdf
Linear Algebra Project Urban Population Dynamics This project is.pdfLinear Algebra Project Urban Population Dynamics This project is.pdf
Linear Algebra Project Urban Population Dynamics This project is.pdfairflyluggage
 
Linear Algebra please show all work Linear Algebra please show all w.pdf
Linear Algebra please show all work Linear Algebra please show all w.pdfLinear Algebra please show all work Linear Algebra please show all w.pdf
Linear Algebra please show all work Linear Algebra please show all w.pdfairflyluggage
 
Linear Algebra Help- I cant understand where to start in this. Could.pdf
Linear Algebra Help- I cant understand where to start in this. Could.pdfLinear Algebra Help- I cant understand where to start in this. Could.pdf
Linear Algebra Help- I cant understand where to start in this. Could.pdfairflyluggage
 
limit as x goes to infinity of cos(1 x) Solutionrepresent .pdf
limit as x goes to infinity of cos(1 x) Solutionrepresent .pdflimit as x goes to infinity of cos(1 x) Solutionrepresent .pdf
limit as x goes to infinity of cos(1 x) Solutionrepresent .pdfairflyluggage
 
Lily and sara each had an equal amount of money at first. After Lily.pdf
Lily and sara each had an equal amount of money at first. After Lily.pdfLily and sara each had an equal amount of money at first. After Lily.pdf
Lily and sara each had an equal amount of money at first. After Lily.pdfairflyluggage
 
Likely reasons for inaccurate control limits would include which of .pdf
Likely reasons for inaccurate control limits would include which of .pdfLikely reasons for inaccurate control limits would include which of .pdf
Likely reasons for inaccurate control limits would include which of .pdfairflyluggage
 
lim 4x^3+6x^2-2 2x^3 -4x+5 when x approaches negative infinity .pdf
lim 4x^3+6x^2-2 2x^3 -4x+5 when x approaches negative infinity .pdflim 4x^3+6x^2-2 2x^3 -4x+5 when x approaches negative infinity .pdf
lim 4x^3+6x^2-2 2x^3 -4x+5 when x approaches negative infinity .pdfairflyluggage
 
like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdf
like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdflike many entreneurs, Tony Smith started Sonic as a sole proprietors.pdf
like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdfairflyluggage
 
Like a sole proprietorship statement of owners equity, the stateme.pdf
Like a sole proprietorship statement of owners equity, the stateme.pdfLike a sole proprietorship statement of owners equity, the stateme.pdf
Like a sole proprietorship statement of owners equity, the stateme.pdfairflyluggage
 
Lewotontin wrote a critical review of The Social Organization of Sex.pdf
Lewotontin wrote a critical review of The Social Organization of Sex.pdfLewotontin wrote a critical review of The Social Organization of Sex.pdf
Lewotontin wrote a critical review of The Social Organization of Sex.pdfairflyluggage
 
Let Z_{n} denote the sample mean for a random sample of size n from.pdf
Let Z_{n} denote the sample mean for a random sample of size n from.pdfLet Z_{n} denote the sample mean for a random sample of size n from.pdf
Let Z_{n} denote the sample mean for a random sample of size n from.pdfairflyluggage
 
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdf
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdfLetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdf
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdfairflyluggage
 
Lets say you frequently drink wine thats been rated highly by Ro.pdf
Lets say you frequently drink wine thats been rated highly by Ro.pdfLets say you frequently drink wine thats been rated highly by Ro.pdf
Lets say you frequently drink wine thats been rated highly by Ro.pdfairflyluggage
 
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdf
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdfLet X1,X2,X3 and X4 be independent random variables. Assume that X2.pdf
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdfairflyluggage
 
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdf
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdfLet X1,X2,X3....X25 be a random sample from a population with mean o.pdf
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdfairflyluggage
 
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdf
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdfLet Y1 and Y2 be independent and uniformly distributed over the inte.pdf
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdfairflyluggage
 
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdf
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdfLet Y1 be the number of success in n = 10 independent Bernoulli tria.pdf
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdfairflyluggage
 
Let Y have an exponential distribution with mean . Prove that W.pdf
Let Y have an exponential distribution with mean . Prove that W.pdfLet Y have an exponential distribution with mean . Prove that W.pdf
Let Y have an exponential distribution with mean . Prove that W.pdfairflyluggage
 
Let Y be a continuous random variable and define m as the median of .pdf
Let Y be a continuous random variable and define m as the median of .pdfLet Y be a continuous random variable and define m as the median of .pdf
Let Y be a continuous random variable and define m as the median of .pdfairflyluggage
 
Let X1,...,Xn represent a random sample from the discrete distributi.pdf
Let X1,...,Xn represent a random sample from the discrete distributi.pdfLet X1,...,Xn represent a random sample from the discrete distributi.pdf
Let X1,...,Xn represent a random sample from the discrete distributi.pdfairflyluggage
 
Let X1,...,X5 be Independent continuous random variables having comm.pdf
Let X1,...,X5 be Independent continuous random variables having comm.pdfLet X1,...,X5 be Independent continuous random variables having comm.pdf
Let X1,...,X5 be Independent continuous random variables having comm.pdfairflyluggage
 
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdf
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdfLet X1 and X2 have a trinomial distribution. Differentiate the momen.pdf
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdfairflyluggage
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin ClassesCeline George
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17Celine George
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentationcamerronhm
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfSherif Taha
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSCeline George
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student briefAssociation for Project Management
 
Understanding Accommodations and Modifications
Understanding Accommodations and ModificationsUnderstanding Accommodations and Modifications
Understanding Accommodations and ModificationsMJDuyan
 

More Related Content

More from airflyluggage

like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdf
like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdflike many entreneurs, Tony Smith started Sonic as a sole proprietors.pdf
like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdfairflyluggage
 
Like a sole proprietorship statement of owners equity, the stateme.pdf
Like a sole proprietorship statement of owners equity, the stateme.pdfLike a sole proprietorship statement of owners equity, the stateme.pdf
Like a sole proprietorship statement of owners equity, the stateme.pdfairflyluggage
 
Lewotontin wrote a critical review of The Social Organization of Sex.pdf
Lewotontin wrote a critical review of The Social Organization of Sex.pdfLewotontin wrote a critical review of The Social Organization of Sex.pdf
Lewotontin wrote a critical review of The Social Organization of Sex.pdfairflyluggage
 
Let Z_{n} denote the sample mean for a random sample of size n from.pdf
Let Z_{n} denote the sample mean for a random sample of size n from.pdfLet Z_{n} denote the sample mean for a random sample of size n from.pdf
Let Z_{n} denote the sample mean for a random sample of size n from.pdfairflyluggage
 
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdf
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdfLetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdf
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdfairflyluggage
 
Lets say you frequently drink wine thats been rated highly by Ro.pdf
Lets say you frequently drink wine thats been rated highly by Ro.pdfLets say you frequently drink wine thats been rated highly by Ro.pdf
Lets say you frequently drink wine thats been rated highly by Ro.pdfairflyluggage
 
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdf
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdfLet X1,X2,X3 and X4 be independent random variables. Assume that X2.pdf
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdfairflyluggage
 
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdf
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdfLet X1,X2,X3....X25 be a random sample from a population with mean o.pdf
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdfairflyluggage
 
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdf
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdfLet Y1 and Y2 be independent and uniformly distributed over the inte.pdf
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdfairflyluggage
 
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdf
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdfLet Y1 be the number of success in n = 10 independent Bernoulli tria.pdf
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdfairflyluggage
 
Let Y have an exponential distribution with mean . Prove that W.pdf
Let Y have an exponential distribution with mean . Prove that W.pdfLet Y have an exponential distribution with mean . Prove that W.pdf
Let Y have an exponential distribution with mean . Prove that W.pdfairflyluggage
 
Let Y be a continuous random variable and define m as the median of .pdf
Let Y be a continuous random variable and define m as the median of .pdfLet Y be a continuous random variable and define m as the median of .pdf
Let Y be a continuous random variable and define m as the median of .pdfairflyluggage
 
Let X1,...,Xn represent a random sample from the discrete distributi.pdf
Let X1,...,Xn represent a random sample from the discrete distributi.pdfLet X1,...,Xn represent a random sample from the discrete distributi.pdf
Let X1,...,Xn represent a random sample from the discrete distributi.pdfairflyluggage
 
Let X1,...,X5 be Independent continuous random variables having comm.pdf
Let X1,...,X5 be Independent continuous random variables having comm.pdfLet X1,...,X5 be Independent continuous random variables having comm.pdf
Let X1,...,X5 be Independent continuous random variables having comm.pdfairflyluggage
 
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdf
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdfLet X1 and X2 have a trinomial distribution. Differentiate the momen.pdf
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdfairflyluggage
 

More from airflyluggage (15)

like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdf
like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdflike many entreneurs, Tony Smith started Sonic as a sole proprietors.pdf
like many entreneurs, Tony Smith started Sonic as a sole proprietors.pdf
 
Like a sole proprietorship statement of owners equity, the stateme.pdf
Like a sole proprietorship statement of owners equity, the stateme.pdfLike a sole proprietorship statement of owners equity, the stateme.pdf
Like a sole proprietorship statement of owners equity, the stateme.pdf
 
Lewotontin wrote a critical review of The Social Organization of Sex.pdf
Lewotontin wrote a critical review of The Social Organization of Sex.pdfLewotontin wrote a critical review of The Social Organization of Sex.pdf
Lewotontin wrote a critical review of The Social Organization of Sex.pdf
 
Let Z_{n} denote the sample mean for a random sample of size n from.pdf
Let Z_{n} denote the sample mean for a random sample of size n from.pdfLet Z_{n} denote the sample mean for a random sample of size n from.pdf
Let Z_{n} denote the sample mean for a random sample of size n from.pdf
 
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdf
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdfLetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdf
LetX_1, X_2, . . . , X_nbe i.i.d. from distributionF 1. IfFis t.pdf
 
Lets say you frequently drink wine thats been rated highly by Ro.pdf
Lets say you frequently drink wine thats been rated highly by Ro.pdfLets say you frequently drink wine thats been rated highly by Ro.pdf
Lets say you frequently drink wine thats been rated highly by Ro.pdf
 
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdf
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdfLet X1,X2,X3 and X4 be independent random variables. Assume that X2.pdf
Let X1,X2,X3 and X4 be independent random variables. Assume that X2.pdf
 
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdf
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdfLet X1,X2,X3....X25 be a random sample from a population with mean o.pdf
Let X1,X2,X3....X25 be a random sample from a population with mean o.pdf
 
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdf
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdfLet Y1 and Y2 be independent and uniformly distributed over the inte.pdf
Let Y1 and Y2 be independent and uniformly distributed over the inte.pdf
 
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdf
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdfLet Y1 be the number of success in n = 10 independent Bernoulli tria.pdf
Let Y1 be the number of success in n = 10 independent Bernoulli tria.pdf
 
Let Y have an exponential distribution with mean . Prove that W.pdf
Let Y have an exponential distribution with mean . Prove that W.pdfLet Y have an exponential distribution with mean . Prove that W.pdf
Let Y have an exponential distribution with mean . Prove that W.pdf
 
Let Y be a continuous random variable and define m as the median of .pdf
Let Y be a continuous random variable and define m as the median of .pdfLet Y be a continuous random variable and define m as the median of .pdf
Let Y be a continuous random variable and define m as the median of .pdf
 
Let X1,...,Xn represent a random sample from the discrete distributi.pdf
Let X1,...,Xn represent a random sample from the discrete distributi.pdfLet X1,...,Xn represent a random sample from the discrete distributi.pdf
Let X1,...,Xn represent a random sample from the discrete distributi.pdf
 
Let X1,...,X5 be Independent continuous random variables having comm.pdf
Let X1,...,X5 be Independent continuous random variables having comm.pdfLet X1,...,X5 be Independent continuous random variables having comm.pdf
Let X1,...,X5 be Independent continuous random variables having comm.pdf
 
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdf
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdfLet X1 and X2 have a trinomial distribution. Differentiate the momen.pdf
Let X1 and X2 have a trinomial distribution. Differentiate the momen.pdf
 

Recently uploaded

Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin ClassesCeline George
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17Celine George
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentationcamerronhm
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfSherif Taha
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSCeline George
 
Understanding Accommodations and Modifications
Understanding Accommodations and ModificationsUnderstanding Accommodations and Modifications
Understanding Accommodations and ModificationsMJDuyan
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxcallscotland1987
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfAdmir Softic
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxVishalSingh1417
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Jisc
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsMebane Rash
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhikauryashika82
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxheathfieldcps1
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibitjbellavia9
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxRamakrishna Reddy Bijjam
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.christianmathematics
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdfQucHHunhnh
 

Recently uploaded (20)

Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 
Understanding Accommodations and Modifications
Understanding Accommodations and ModificationsUnderstanding Accommodations and Modifications
Understanding Accommodations and Modifications
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptx
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
Asian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptxAsian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptx
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 

Let X1,X2, . . . be a sequence of independent identically distribute.pdf

  • 1. Let X1,X2, . . . be a sequence of independent identically distributed random variables with finite mean and variance. Show that the sequence Yn = Xn/n converges to zero, with probability 1. Solution Y1 = X1/1, Y2 = X2/2, Y3 = X3/3... Yn = Xn/n According to Levy's theorem, The independent random variables Sn = X1 ,