SlideShare a Scribd company logo
4. X and Y are joint continuous random variables and their joint p.d.f. is given by Let W be the
continuous random variable distributed by W = X + Y . (a) Find the p.d.f. of W using the
Distribution Function Technique. Be sure to determine where this p.d.f. is non-trivial. (10 pts.).
(b) Find P ( 0 < W < 2 1 ) ( 5 pts. )

More Related Content

More from aarifi9988

How many different 6 -letter passwords can be formed from the letters.pdf
How many different 6 -letter passwords can be formed from the letters.pdfHow many different 6 -letter passwords can be formed from the letters.pdf
How many different 6 -letter passwords can be formed from the letters.pdf
aarifi9988
 
Problem 3-70 A Part II Comprehensive Problem- Reviewing the Accounting.pdf
Problem 3-70 A Part II Comprehensive Problem- Reviewing the Accounting.pdfProblem 3-70 A Part II Comprehensive Problem- Reviewing the Accounting.pdf
Problem 3-70 A Part II Comprehensive Problem- Reviewing the Accounting.pdf
aarifi9988
 
ll of the following are true of gonorrhea in women EXCEPT- Primary sit.pdf
ll of the following are true of gonorrhea in women EXCEPT- Primary sit.pdfll of the following are true of gonorrhea in women EXCEPT- Primary sit.pdf
ll of the following are true of gonorrhea in women EXCEPT- Primary sit.pdf
aarifi9988
 
Lahars are hot mudflows caused by the mixing of volcanic ash and rain.pdf
Lahars are hot mudflows caused by the mixing of volcanic ash and rain.pdfLahars are hot mudflows caused by the mixing of volcanic ash and rain.pdf
Lahars are hot mudflows caused by the mixing of volcanic ash and rain.pdf
aarifi9988
 
Match each item with a statement below- Using this network mode within.pdf
Match each item with a statement below- Using this network mode within.pdfMatch each item with a statement below- Using this network mode within.pdf
Match each item with a statement below- Using this network mode within.pdf
aarifi9988
 
Jump to level 1 What properties apply to each attribute-A programmer m.pdf
Jump to level 1 What properties apply to each attribute-A programmer m.pdfJump to level 1 What properties apply to each attribute-A programmer m.pdf
Jump to level 1 What properties apply to each attribute-A programmer m.pdf
aarifi9988
 
Which of the following methods is the most appropriate when data have.pdf
Which of the following methods is the most appropriate when data have.pdfWhich of the following methods is the most appropriate when data have.pdf
Which of the following methods is the most appropriate when data have.pdf
aarifi9988
 
Which of these bacteria most likely does not possess the enzymes super.pdf
Which of these bacteria most likely does not possess the enzymes super.pdfWhich of these bacteria most likely does not possess the enzymes super.pdf
Which of these bacteria most likely does not possess the enzymes super.pdf
aarifi9988
 
There are n-10 battery packs in stock- Each battery has the ability to.pdf
There are n-10 battery packs in stock- Each battery has the ability to.pdfThere are n-10 battery packs in stock- Each battery has the ability to.pdf
There are n-10 battery packs in stock- Each battery has the ability to.pdf
aarifi9988
 
The pandemic has required organizations to redefine- redesign- and shi.pdf
The pandemic has required organizations to redefine- redesign- and shi.pdfThe pandemic has required organizations to redefine- redesign- and shi.pdf
The pandemic has required organizations to redefine- redesign- and shi.pdf
aarifi9988
 
The general journals are- Select one- a- Used to record similar repeti.pdf
The general journals are- Select one- a- Used to record similar repeti.pdfThe general journals are- Select one- a- Used to record similar repeti.pdf
The general journals are- Select one- a- Used to record similar repeti.pdf
aarifi9988
 
The blood vessels in the legs are twice as long as the blood vessels i.pdf
The blood vessels in the legs are twice as long as the blood vessels i.pdfThe blood vessels in the legs are twice as long as the blood vessels i.pdf
The blood vessels in the legs are twice as long as the blood vessels i.pdf
aarifi9988
 
The keeps a central ledger for the ACH network- OCC Federal Reserve FD.pdf
The keeps a central ledger for the ACH network- OCC Federal Reserve FD.pdfThe keeps a central ledger for the ACH network- OCC Federal Reserve FD.pdf
The keeps a central ledger for the ACH network- OCC Federal Reserve FD.pdf
aarifi9988
 
The difference between primary and secondary prevention of disease is.pdf
The difference between primary and secondary prevention of disease is.pdfThe difference between primary and secondary prevention of disease is.pdf
The difference between primary and secondary prevention of disease is.pdf
aarifi9988
 
Securing a system is an important part of managing a production system.pdf
Securing a system is an important part of managing a production system.pdfSecuring a system is an important part of managing a production system.pdf
Securing a system is an important part of managing a production system.pdf
aarifi9988
 
Question 3- Let n-m-dN and suppose that a town with n people contains.pdf
Question 3- Let n-m-dN and suppose that a town with n people contains.pdfQuestion 3- Let n-m-dN and suppose that a town with n people contains.pdf
Question 3- Let n-m-dN and suppose that a town with n people contains.pdf
aarifi9988
 
Prior to the Great Depression- many policy makers- Group of answer cho.pdf
Prior to the Great Depression- many policy makers- Group of answer cho.pdfPrior to the Great Depression- many policy makers- Group of answer cho.pdf
Prior to the Great Depression- many policy makers- Group of answer cho.pdf
aarifi9988
 
1-What type of U-S- consumers are in the Generation X- millennial gene.pdf
1-What type of U-S- consumers are in the Generation X- millennial gene.pdf1-What type of U-S- consumers are in the Generation X- millennial gene.pdf
1-What type of U-S- consumers are in the Generation X- millennial gene.pdf
aarifi9988
 
Consider the following uneven cash flow stream- What is the present (y.pdf
Consider the following uneven cash flow stream- What is the present (y.pdfConsider the following uneven cash flow stream- What is the present (y.pdf
Consider the following uneven cash flow stream- What is the present (y.pdf
aarifi9988
 
Irite a function old_man() to print the lyrics for the song -This Old.pdf
Irite a function old_man() to print the lyrics for the song -This Old.pdfIrite a function old_man() to print the lyrics for the song -This Old.pdf
Irite a function old_man() to print the lyrics for the song -This Old.pdf
aarifi9988
 

More from aarifi9988 (20)

How many different 6 -letter passwords can be formed from the letters.pdf
How many different 6 -letter passwords can be formed from the letters.pdfHow many different 6 -letter passwords can be formed from the letters.pdf
How many different 6 -letter passwords can be formed from the letters.pdf
 
Problem 3-70 A Part II Comprehensive Problem- Reviewing the Accounting.pdf
Problem 3-70 A Part II Comprehensive Problem- Reviewing the Accounting.pdfProblem 3-70 A Part II Comprehensive Problem- Reviewing the Accounting.pdf
Problem 3-70 A Part II Comprehensive Problem- Reviewing the Accounting.pdf
 
ll of the following are true of gonorrhea in women EXCEPT- Primary sit.pdf
ll of the following are true of gonorrhea in women EXCEPT- Primary sit.pdfll of the following are true of gonorrhea in women EXCEPT- Primary sit.pdf
ll of the following are true of gonorrhea in women EXCEPT- Primary sit.pdf
 
Lahars are hot mudflows caused by the mixing of volcanic ash and rain.pdf
Lahars are hot mudflows caused by the mixing of volcanic ash and rain.pdfLahars are hot mudflows caused by the mixing of volcanic ash and rain.pdf
Lahars are hot mudflows caused by the mixing of volcanic ash and rain.pdf
 
Match each item with a statement below- Using this network mode within.pdf
Match each item with a statement below- Using this network mode within.pdfMatch each item with a statement below- Using this network mode within.pdf
Match each item with a statement below- Using this network mode within.pdf
 
Jump to level 1 What properties apply to each attribute-A programmer m.pdf
Jump to level 1 What properties apply to each attribute-A programmer m.pdfJump to level 1 What properties apply to each attribute-A programmer m.pdf
Jump to level 1 What properties apply to each attribute-A programmer m.pdf
 
Which of the following methods is the most appropriate when data have.pdf
Which of the following methods is the most appropriate when data have.pdfWhich of the following methods is the most appropriate when data have.pdf
Which of the following methods is the most appropriate when data have.pdf
 
Which of these bacteria most likely does not possess the enzymes super.pdf
Which of these bacteria most likely does not possess the enzymes super.pdfWhich of these bacteria most likely does not possess the enzymes super.pdf
Which of these bacteria most likely does not possess the enzymes super.pdf
 
There are n-10 battery packs in stock- Each battery has the ability to.pdf
There are n-10 battery packs in stock- Each battery has the ability to.pdfThere are n-10 battery packs in stock- Each battery has the ability to.pdf
There are n-10 battery packs in stock- Each battery has the ability to.pdf
 
The pandemic has required organizations to redefine- redesign- and shi.pdf
The pandemic has required organizations to redefine- redesign- and shi.pdfThe pandemic has required organizations to redefine- redesign- and shi.pdf
The pandemic has required organizations to redefine- redesign- and shi.pdf
 
The general journals are- Select one- a- Used to record similar repeti.pdf
The general journals are- Select one- a- Used to record similar repeti.pdfThe general journals are- Select one- a- Used to record similar repeti.pdf
The general journals are- Select one- a- Used to record similar repeti.pdf
 
The blood vessels in the legs are twice as long as the blood vessels i.pdf
The blood vessels in the legs are twice as long as the blood vessels i.pdfThe blood vessels in the legs are twice as long as the blood vessels i.pdf
The blood vessels in the legs are twice as long as the blood vessels i.pdf
 
The keeps a central ledger for the ACH network- OCC Federal Reserve FD.pdf
The keeps a central ledger for the ACH network- OCC Federal Reserve FD.pdfThe keeps a central ledger for the ACH network- OCC Federal Reserve FD.pdf
The keeps a central ledger for the ACH network- OCC Federal Reserve FD.pdf
 
The difference between primary and secondary prevention of disease is.pdf
The difference between primary and secondary prevention of disease is.pdfThe difference between primary and secondary prevention of disease is.pdf
The difference between primary and secondary prevention of disease is.pdf
 
Securing a system is an important part of managing a production system.pdf
Securing a system is an important part of managing a production system.pdfSecuring a system is an important part of managing a production system.pdf
Securing a system is an important part of managing a production system.pdf
 
Question 3- Let n-m-dN and suppose that a town with n people contains.pdf
Question 3- Let n-m-dN and suppose that a town with n people contains.pdfQuestion 3- Let n-m-dN and suppose that a town with n people contains.pdf
Question 3- Let n-m-dN and suppose that a town with n people contains.pdf
 
Prior to the Great Depression- many policy makers- Group of answer cho.pdf
Prior to the Great Depression- many policy makers- Group of answer cho.pdfPrior to the Great Depression- many policy makers- Group of answer cho.pdf
Prior to the Great Depression- many policy makers- Group of answer cho.pdf
 
1-What type of U-S- consumers are in the Generation X- millennial gene.pdf
1-What type of U-S- consumers are in the Generation X- millennial gene.pdf1-What type of U-S- consumers are in the Generation X- millennial gene.pdf
1-What type of U-S- consumers are in the Generation X- millennial gene.pdf
 
Consider the following uneven cash flow stream- What is the present (y.pdf
Consider the following uneven cash flow stream- What is the present (y.pdfConsider the following uneven cash flow stream- What is the present (y.pdf
Consider the following uneven cash flow stream- What is the present (y.pdf
 
Irite a function old_man() to print the lyrics for the song -This Old.pdf
Irite a function old_man() to print the lyrics for the song -This Old.pdfIrite a function old_man() to print the lyrics for the song -This Old.pdf
Irite a function old_man() to print the lyrics for the song -This Old.pdf
 

Recently uploaded

Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Scholarhat
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
 
S1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptxS1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptx
tarandeep35
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
EverAndrsGuerraGuerr
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Celine George
 
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat  Leveraging AI for Diversity, Equity, and InclusionExecutive Directors Chat  Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
TechSoup
 
writing about opinions about Australia the movie
writing about opinions about Australia the moviewriting about opinions about Australia the movie
writing about opinions about Australia the movie
Nicholas Montgomery
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
taiba qazi
 
A Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdfA Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdf
Jean Carlos Nunes Paixão
 
Advanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docxAdvanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docx
adhitya5119
 
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Dr. Vinod Kumar Kanvaria
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
Priyankaranawat4
 
Top five deadliest dog breeds in America
Top five deadliest dog breeds in AmericaTop five deadliest dog breeds in America
Top five deadliest dog breeds in America
Bisnar Chase Personal Injury Attorneys
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
heathfieldcps1
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
Celine George
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
TechSoup
 
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdfবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
eBook.com.bd (প্রয়োজনীয় বাংলা বই)
 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
WaniBasim
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
A Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptxA Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptx
thanhdowork
 

Recently uploaded (20)

Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
 
S1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptxS1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptx
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
 
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat  Leveraging AI for Diversity, Equity, and InclusionExecutive Directors Chat  Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
 
writing about opinions about Australia the movie
writing about opinions about Australia the moviewriting about opinions about Australia the movie
writing about opinions about Australia the movie
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
 
A Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdfA Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdf
 
Advanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docxAdvanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docx
 
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
 
Top five deadliest dog breeds in America
Top five deadliest dog breeds in AmericaTop five deadliest dog breeds in America
Top five deadliest dog breeds in America
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
 
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdfবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
A Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptxA Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptx
 

4- X and Y are joint continuous random variables and their joint p-d-f.pdf

  • 1. 4. X and Y are joint continuous random variables and their joint p.d.f. is given by Let W be the continuous random variable distributed by W = X + Y . (a) Find the p.d.f. of W using the Distribution Function Technique. Be sure to determine where this p.d.f. is non-trivial. (10 pts.). (b) Find P ( 0 < W < 2 1 ) ( 5 pts. )