SlideShare a Scribd company logo
Problem 2. (11%) Let X and Y be independent Binomial ( n , p ) random variables. Find the
conditional distribution of Y X + Y . That is, if u and w are integers with 0 w u , find P ( Y = w
X + Y = u ) (You may use without proof the fact that X + Y Binomial ( 2 n , p ) .)

More Related Content

More from JamesPXNNewmanp

Q1- Given is the symbol of a 1-bit full adder- Please draw a diagram t.pdf
Q1- Given is the symbol of a 1-bit full adder- Please draw a diagram t.pdfQ1- Given is the symbol of a 1-bit full adder- Please draw a diagram t.pdf
Q1- Given is the symbol of a 1-bit full adder- Please draw a diagram t.pdf
JamesPXNNewmanp
 
PYTHON File Analysis Write a program that reads the contents of the tw.pdf
PYTHON File Analysis Write a program that reads the contents of the tw.pdfPYTHON File Analysis Write a program that reads the contents of the tw.pdf
PYTHON File Analysis Write a program that reads the contents of the tw.pdf
JamesPXNNewmanp
 
Python CMSC 206 Please fix this code- send me what I should enter- and.pdf
Python CMSC 206 Please fix this code- send me what I should enter- and.pdfPython CMSC 206 Please fix this code- send me what I should enter- and.pdf
Python CMSC 206 Please fix this code- send me what I should enter- and.pdf
JamesPXNNewmanp
 
Psychiatrist from Munich who devised a classification of mental disord.pdf
Psychiatrist from Munich who devised a classification of mental disord.pdfPsychiatrist from Munich who devised a classification of mental disord.pdf
Psychiatrist from Munich who devised a classification of mental disord.pdf
JamesPXNNewmanp
 
provide project managers and their teams with access to informal organ.pdf
provide project managers and their teams with access to informal organ.pdfprovide project managers and their teams with access to informal organ.pdf
provide project managers and their teams with access to informal organ.pdf
JamesPXNNewmanp
 
Pseudopods are used by amoebas for locomotion- A- True B- False QUESTI.pdf
Pseudopods are used by amoebas for locomotion- A- True B- False QUESTI.pdfPseudopods are used by amoebas for locomotion- A- True B- False QUESTI.pdf
Pseudopods are used by amoebas for locomotion- A- True B- False QUESTI.pdf
JamesPXNNewmanp
 
Provide a substantive comnent to this post- Statistics in R is a pow.pdf
Provide a substantive comnent to this post-   Statistics in R is a pow.pdfProvide a substantive comnent to this post-   Statistics in R is a pow.pdf
Provide a substantive comnent to this post- Statistics in R is a pow.pdf
JamesPXNNewmanp
 
Project Pink initially costs Rs- 25-000- It generates the following ca.pdf
Project Pink initially costs Rs- 25-000- It generates the following ca.pdfProject Pink initially costs Rs- 25-000- It generates the following ca.pdf
Project Pink initially costs Rs- 25-000- It generates the following ca.pdf
JamesPXNNewmanp
 
proinsulin What triggers the closure of KATP channels and the subseque.pdf
proinsulin What triggers the closure of KATP channels and the subseque.pdfproinsulin What triggers the closure of KATP channels and the subseque.pdf
proinsulin What triggers the closure of KATP channels and the subseque.pdf
JamesPXNNewmanp
 
Producers and suppliers andtheir role in the housing stockshortage of.pdf
Producers and suppliers andtheir role in the housing stockshortage of.pdfProducers and suppliers andtheir role in the housing stockshortage of.pdf
Producers and suppliers andtheir role in the housing stockshortage of.pdf
JamesPXNNewmanp
 
Problem- Describe an algorithm for concatenating two singly linked lis.pdf
Problem- Describe an algorithm for concatenating two singly linked lis.pdfProblem- Describe an algorithm for concatenating two singly linked lis.pdf
Problem- Describe an algorithm for concatenating two singly linked lis.pdf
JamesPXNNewmanp
 
Problem 9- (10 points) The mean and standard deviation of a random var.pdf
Problem 9- (10 points) The mean and standard deviation of a random var.pdfProblem 9- (10 points) The mean and standard deviation of a random var.pdf
Problem 9- (10 points) The mean and standard deviation of a random var.pdf
JamesPXNNewmanp
 
Problem 7-20.pdf
Problem 7-20.pdfProblem 7-20.pdf
Problem 7-20.pdf
JamesPXNNewmanp
 
Problem 7 The Wechsler Adult Intelligence Scale is standardized to hav.pdf
Problem 7 The Wechsler Adult Intelligence Scale is standardized to hav.pdfProblem 7 The Wechsler Adult Intelligence Scale is standardized to hav.pdf
Problem 7 The Wechsler Adult Intelligence Scale is standardized to hav.pdf
JamesPXNNewmanp
 
Problem 4 Let Xi-1in be independent and identically distributed random.pdf
Problem 4 Let Xi-1in be independent and identically distributed random.pdfProblem 4 Let Xi-1in be independent and identically distributed random.pdf
Problem 4 Let Xi-1in be independent and identically distributed random.pdf
JamesPXNNewmanp
 
Problem 3- (12-) Let X and Y be independent random variables with mean.pdf
Problem 3- (12-) Let X and Y be independent random variables with mean.pdfProblem 3- (12-) Let X and Y be independent random variables with mean.pdf
Problem 3- (12-) Let X and Y be independent random variables with mean.pdf
JamesPXNNewmanp
 
Problem 1- Use the pumping lemma for the regular language to prove tha.pdf
Problem 1- Use the pumping lemma for the regular language to prove tha.pdfProblem 1- Use the pumping lemma for the regular language to prove tha.pdf
Problem 1- Use the pumping lemma for the regular language to prove tha.pdf
JamesPXNNewmanp
 
Problem 1- truth values Given the truth values A false- B true- and C.pdf
Problem 1- truth values Given the truth values A false- B true- and C.pdfProblem 1- truth values Given the truth values A false- B true- and C.pdf
Problem 1- truth values Given the truth values A false- B true- and C.pdf
JamesPXNNewmanp
 
Prepare the Communication Plan based on the following STEP 1- IDENTIF.pdf
Prepare the Communication Plan based on the following  STEP 1- IDENTIF.pdfPrepare the Communication Plan based on the following  STEP 1- IDENTIF.pdf
Prepare the Communication Plan based on the following STEP 1- IDENTIF.pdf
JamesPXNNewmanp
 
Preferred stock is often cailed a hybrid security because it has some.pdf
Preferred stock is often cailed a hybrid security because it has some.pdfPreferred stock is often cailed a hybrid security because it has some.pdf
Preferred stock is often cailed a hybrid security because it has some.pdf
JamesPXNNewmanp
 

More from JamesPXNNewmanp (20)

Q1- Given is the symbol of a 1-bit full adder- Please draw a diagram t.pdf
Q1- Given is the symbol of a 1-bit full adder- Please draw a diagram t.pdfQ1- Given is the symbol of a 1-bit full adder- Please draw a diagram t.pdf
Q1- Given is the symbol of a 1-bit full adder- Please draw a diagram t.pdf
 
PYTHON File Analysis Write a program that reads the contents of the tw.pdf
PYTHON File Analysis Write a program that reads the contents of the tw.pdfPYTHON File Analysis Write a program that reads the contents of the tw.pdf
PYTHON File Analysis Write a program that reads the contents of the tw.pdf
 
Python CMSC 206 Please fix this code- send me what I should enter- and.pdf
Python CMSC 206 Please fix this code- send me what I should enter- and.pdfPython CMSC 206 Please fix this code- send me what I should enter- and.pdf
Python CMSC 206 Please fix this code- send me what I should enter- and.pdf
 
Psychiatrist from Munich who devised a classification of mental disord.pdf
Psychiatrist from Munich who devised a classification of mental disord.pdfPsychiatrist from Munich who devised a classification of mental disord.pdf
Psychiatrist from Munich who devised a classification of mental disord.pdf
 
provide project managers and their teams with access to informal organ.pdf
provide project managers and their teams with access to informal organ.pdfprovide project managers and their teams with access to informal organ.pdf
provide project managers and their teams with access to informal organ.pdf
 
Pseudopods are used by amoebas for locomotion- A- True B- False QUESTI.pdf
Pseudopods are used by amoebas for locomotion- A- True B- False QUESTI.pdfPseudopods are used by amoebas for locomotion- A- True B- False QUESTI.pdf
Pseudopods are used by amoebas for locomotion- A- True B- False QUESTI.pdf
 
Provide a substantive comnent to this post- Statistics in R is a pow.pdf
Provide a substantive comnent to this post-   Statistics in R is a pow.pdfProvide a substantive comnent to this post-   Statistics in R is a pow.pdf
Provide a substantive comnent to this post- Statistics in R is a pow.pdf
 
Project Pink initially costs Rs- 25-000- It generates the following ca.pdf
Project Pink initially costs Rs- 25-000- It generates the following ca.pdfProject Pink initially costs Rs- 25-000- It generates the following ca.pdf
Project Pink initially costs Rs- 25-000- It generates the following ca.pdf
 
proinsulin What triggers the closure of KATP channels and the subseque.pdf
proinsulin What triggers the closure of KATP channels and the subseque.pdfproinsulin What triggers the closure of KATP channels and the subseque.pdf
proinsulin What triggers the closure of KATP channels and the subseque.pdf
 
Producers and suppliers andtheir role in the housing stockshortage of.pdf
Producers and suppliers andtheir role in the housing stockshortage of.pdfProducers and suppliers andtheir role in the housing stockshortage of.pdf
Producers and suppliers andtheir role in the housing stockshortage of.pdf
 
Problem- Describe an algorithm for concatenating two singly linked lis.pdf
Problem- Describe an algorithm for concatenating two singly linked lis.pdfProblem- Describe an algorithm for concatenating two singly linked lis.pdf
Problem- Describe an algorithm for concatenating two singly linked lis.pdf
 
Problem 9- (10 points) The mean and standard deviation of a random var.pdf
Problem 9- (10 points) The mean and standard deviation of a random var.pdfProblem 9- (10 points) The mean and standard deviation of a random var.pdf
Problem 9- (10 points) The mean and standard deviation of a random var.pdf
 
Problem 7-20.pdf
Problem 7-20.pdfProblem 7-20.pdf
Problem 7-20.pdf
 
Problem 7 The Wechsler Adult Intelligence Scale is standardized to hav.pdf
Problem 7 The Wechsler Adult Intelligence Scale is standardized to hav.pdfProblem 7 The Wechsler Adult Intelligence Scale is standardized to hav.pdf
Problem 7 The Wechsler Adult Intelligence Scale is standardized to hav.pdf
 
Problem 4 Let Xi-1in be independent and identically distributed random.pdf
Problem 4 Let Xi-1in be independent and identically distributed random.pdfProblem 4 Let Xi-1in be independent and identically distributed random.pdf
Problem 4 Let Xi-1in be independent and identically distributed random.pdf
 
Problem 3- (12-) Let X and Y be independent random variables with mean.pdf
Problem 3- (12-) Let X and Y be independent random variables with mean.pdfProblem 3- (12-) Let X and Y be independent random variables with mean.pdf
Problem 3- (12-) Let X and Y be independent random variables with mean.pdf
 
Problem 1- Use the pumping lemma for the regular language to prove tha.pdf
Problem 1- Use the pumping lemma for the regular language to prove tha.pdfProblem 1- Use the pumping lemma for the regular language to prove tha.pdf
Problem 1- Use the pumping lemma for the regular language to prove tha.pdf
 
Problem 1- truth values Given the truth values A false- B true- and C.pdf
Problem 1- truth values Given the truth values A false- B true- and C.pdfProblem 1- truth values Given the truth values A false- B true- and C.pdf
Problem 1- truth values Given the truth values A false- B true- and C.pdf
 
Prepare the Communication Plan based on the following STEP 1- IDENTIF.pdf
Prepare the Communication Plan based on the following  STEP 1- IDENTIF.pdfPrepare the Communication Plan based on the following  STEP 1- IDENTIF.pdf
Prepare the Communication Plan based on the following STEP 1- IDENTIF.pdf
 
Preferred stock is often cailed a hybrid security because it has some.pdf
Preferred stock is often cailed a hybrid security because it has some.pdfPreferred stock is often cailed a hybrid security because it has some.pdf
Preferred stock is often cailed a hybrid security because it has some.pdf
 

Recently uploaded

LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
RAHUL
 
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
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
NgcHiNguyn25
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
Priyankaranawat4
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
Pride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School DistrictPride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School District
David Douglas School District
 
World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024
ak6969907
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
Dr. Mulla Adam Ali
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
Nicholas Montgomery
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Nguyen Thanh Tu Collection
 
PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.
Dr. Shivangi Singh Parihar
 
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingYour Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Excellence Foundation for South Sudan
 
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
sayalidalavi006
 
How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17
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
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
TechSoup
 
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
IreneSebastianRueco1
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
Colégio Santa Teresinha
 
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
 
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)
 

Recently uploaded (20)

LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
 
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
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
Pride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School DistrictPride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School District
 
World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
 
PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.
 
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingYour Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
 
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
 
How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17
 
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
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
 
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
 
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
 
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
 

Problem 2- (11--) Let X and Y be independent Binomial(n-p) random vari.pdf

  • 1. Problem 2. (11%) Let X and Y be independent Binomial ( n , p ) random variables. Find the conditional distribution of Y X + Y . That is, if u and w are integers with 0 w u , find P ( Y = w X + Y = u ) (You may use without proof the fact that X + Y Binomial ( 2 n , p ) .)