SlideShare a Scribd company logo
Suppose that the random variables X and Y have joint probability density function f(x, y) =
c(x^2)y if 0 x 1, 0 y 1 0 otherwise (a) Find the value of c. (b) Find marginal probability density
functions fX(x) and fY (y). (c) Find E(XY ), E(X), E(Y ), and cov(X, Y ). (d) Are the random
variables X and Y independent? (e) Find Pr(X Y )

More Related Content

More from sonunotwani

Huang Ltd- records their business transactions into the basic accounti.pdf
Huang Ltd- records their business transactions into the basic accounti.pdfHuang Ltd- records their business transactions into the basic accounti.pdf
Huang Ltd- records their business transactions into the basic accounti.pdf
sonunotwani
 
How would I change my code to get the picture below- i.pdf
How would I change my code to get the picture below-    i.pdfHow would I change my code to get the picture below-    i.pdf
How would I change my code to get the picture below- i.pdf
sonunotwani
 
How would payments to acquire debt instruments of other entities be cl.pdf
How would payments to acquire debt instruments of other entities be cl.pdfHow would payments to acquire debt instruments of other entities be cl.pdf
How would payments to acquire debt instruments of other entities be cl.pdf
sonunotwani
 
How would you determine the relative ages of igneous rocks- A- Cross-c.pdf
How would you determine the relative ages of igneous rocks- A- Cross-c.pdfHow would you determine the relative ages of igneous rocks- A- Cross-c.pdf
How would you determine the relative ages of igneous rocks- A- Cross-c.pdf
sonunotwani
 
How would you answer these questions- 1- How would you feel if a job.pdf
How would you answer these questions-  1- How would you feel if a job.pdfHow would you answer these questions-  1- How would you feel if a job.pdf
How would you answer these questions- 1- How would you feel if a job.pdf
sonunotwani
 
How would you describe JD's product-.pdf
How would you describe JD's product-.pdfHow would you describe JD's product-.pdf
How would you describe JD's product-.pdf
sonunotwani
 
How would the central fight against a recessionary gap- Describe the r.pdf
How would the central fight against a recessionary gap- Describe the r.pdfHow would the central fight against a recessionary gap- Describe the r.pdf
How would the central fight against a recessionary gap- Describe the r.pdf
sonunotwani
 
How would E-coli respond to the environmental change if it has been pl.pdf
How would E-coli respond to the environmental change if it has been pl.pdfHow would E-coli respond to the environmental change if it has been pl.pdf
How would E-coli respond to the environmental change if it has been pl.pdf
sonunotwani
 
HS450-1- Assess strategic planning techniques for organizational chang.pdf
HS450-1- Assess strategic planning techniques for organizational chang.pdfHS450-1- Assess strategic planning techniques for organizational chang.pdf
HS450-1- Assess strategic planning techniques for organizational chang.pdf
sonunotwani
 
Human activity has increased habitat fragmentation and restricted wild.pdf
Human activity has increased habitat fragmentation and restricted wild.pdfHuman activity has increased habitat fragmentation and restricted wild.pdf
Human activity has increased habitat fragmentation and restricted wild.pdf
sonunotwani
 
Suppose that the feasible region of a maximization LP problem has corn.pdf
Suppose that the feasible region of a maximization LP problem has corn.pdfSuppose that the feasible region of a maximization LP problem has corn.pdf
Suppose that the feasible region of a maximization LP problem has corn.pdf
sonunotwani
 
Suppose that it is the year 1999 and the U-S- government has a budget.pdf
Suppose that it is the year 1999 and the U-S- government has a budget.pdfSuppose that it is the year 1999 and the U-S- government has a budget.pdf
Suppose that it is the year 1999 and the U-S- government has a budget.pdf
sonunotwani
 
Suppose that past history shows that 30- of university students are sm.pdf
Suppose that past history shows that 30- of university students are sm.pdfSuppose that past history shows that 30- of university students are sm.pdf
Suppose that past history shows that 30- of university students are sm.pdf
sonunotwani
 
Suppose our 5-stage MIPS pipeline contains a data hazard unit and the.pdf
Suppose our 5-stage MIPS pipeline contains a data hazard unit and the.pdfSuppose our 5-stage MIPS pipeline contains a data hazard unit and the.pdf
Suppose our 5-stage MIPS pipeline contains a data hazard unit and the.pdf
sonunotwani
 
Suppose that ages of people in a group are uniformly distributed from.pdf
Suppose that ages of people in a group are uniformly distributed from.pdfSuppose that ages of people in a group are uniformly distributed from.pdf
Suppose that ages of people in a group are uniformly distributed from.pdf
sonunotwani
 
Suppose private savings is further separated into representing consum.pdf
Suppose private savings is further separated into  representing consum.pdfSuppose private savings is further separated into  representing consum.pdf
Suppose private savings is further separated into representing consum.pdf
sonunotwani
 
Suppose that 60- of a population has been found to have blood type O-.pdf
Suppose that 60- of a population has been found to have blood type O-.pdfSuppose that 60- of a population has been found to have blood type O-.pdf
Suppose that 60- of a population has been found to have blood type O-.pdf
sonunotwani
 
Suppose Statistics Canada reported that the savings rate went up durin.pdf
Suppose Statistics Canada reported that the savings rate went up durin.pdfSuppose Statistics Canada reported that the savings rate went up durin.pdf
Suppose Statistics Canada reported that the savings rate went up durin.pdf
sonunotwani
 
Suppose Pr(A)-0-14 and Pr(B)-0-22- where A and B are mutually exclusiv.pdf
Suppose Pr(A)-0-14 and Pr(B)-0-22- where A and B are mutually exclusiv.pdfSuppose Pr(A)-0-14 and Pr(B)-0-22- where A and B are mutually exclusiv.pdf
Suppose Pr(A)-0-14 and Pr(B)-0-22- where A and B are mutually exclusiv.pdf
sonunotwani
 
Suppose I write a threaded program to add together the two n-element v.pdf
Suppose I write a threaded program to add together the two n-element v.pdfSuppose I write a threaded program to add together the two n-element v.pdf
Suppose I write a threaded program to add together the two n-element v.pdf
sonunotwani
 

More from sonunotwani (20)

Huang Ltd- records their business transactions into the basic accounti.pdf
Huang Ltd- records their business transactions into the basic accounti.pdfHuang Ltd- records their business transactions into the basic accounti.pdf
Huang Ltd- records their business transactions into the basic accounti.pdf
 
How would I change my code to get the picture below- i.pdf
How would I change my code to get the picture below-    i.pdfHow would I change my code to get the picture below-    i.pdf
How would I change my code to get the picture below- i.pdf
 
How would payments to acquire debt instruments of other entities be cl.pdf
How would payments to acquire debt instruments of other entities be cl.pdfHow would payments to acquire debt instruments of other entities be cl.pdf
How would payments to acquire debt instruments of other entities be cl.pdf
 
How would you determine the relative ages of igneous rocks- A- Cross-c.pdf
How would you determine the relative ages of igneous rocks- A- Cross-c.pdfHow would you determine the relative ages of igneous rocks- A- Cross-c.pdf
How would you determine the relative ages of igneous rocks- A- Cross-c.pdf
 
How would you answer these questions- 1- How would you feel if a job.pdf
How would you answer these questions-  1- How would you feel if a job.pdfHow would you answer these questions-  1- How would you feel if a job.pdf
How would you answer these questions- 1- How would you feel if a job.pdf
 
How would you describe JD's product-.pdf
How would you describe JD's product-.pdfHow would you describe JD's product-.pdf
How would you describe JD's product-.pdf
 
How would the central fight against a recessionary gap- Describe the r.pdf
How would the central fight against a recessionary gap- Describe the r.pdfHow would the central fight against a recessionary gap- Describe the r.pdf
How would the central fight against a recessionary gap- Describe the r.pdf
 
How would E-coli respond to the environmental change if it has been pl.pdf
How would E-coli respond to the environmental change if it has been pl.pdfHow would E-coli respond to the environmental change if it has been pl.pdf
How would E-coli respond to the environmental change if it has been pl.pdf
 
HS450-1- Assess strategic planning techniques for organizational chang.pdf
HS450-1- Assess strategic planning techniques for organizational chang.pdfHS450-1- Assess strategic planning techniques for organizational chang.pdf
HS450-1- Assess strategic planning techniques for organizational chang.pdf
 
Human activity has increased habitat fragmentation and restricted wild.pdf
Human activity has increased habitat fragmentation and restricted wild.pdfHuman activity has increased habitat fragmentation and restricted wild.pdf
Human activity has increased habitat fragmentation and restricted wild.pdf
 
Suppose that the feasible region of a maximization LP problem has corn.pdf
Suppose that the feasible region of a maximization LP problem has corn.pdfSuppose that the feasible region of a maximization LP problem has corn.pdf
Suppose that the feasible region of a maximization LP problem has corn.pdf
 
Suppose that it is the year 1999 and the U-S- government has a budget.pdf
Suppose that it is the year 1999 and the U-S- government has a budget.pdfSuppose that it is the year 1999 and the U-S- government has a budget.pdf
Suppose that it is the year 1999 and the U-S- government has a budget.pdf
 
Suppose that past history shows that 30- of university students are sm.pdf
Suppose that past history shows that 30- of university students are sm.pdfSuppose that past history shows that 30- of university students are sm.pdf
Suppose that past history shows that 30- of university students are sm.pdf
 
Suppose our 5-stage MIPS pipeline contains a data hazard unit and the.pdf
Suppose our 5-stage MIPS pipeline contains a data hazard unit and the.pdfSuppose our 5-stage MIPS pipeline contains a data hazard unit and the.pdf
Suppose our 5-stage MIPS pipeline contains a data hazard unit and the.pdf
 
Suppose that ages of people in a group are uniformly distributed from.pdf
Suppose that ages of people in a group are uniformly distributed from.pdfSuppose that ages of people in a group are uniformly distributed from.pdf
Suppose that ages of people in a group are uniformly distributed from.pdf
 
Suppose private savings is further separated into representing consum.pdf
Suppose private savings is further separated into  representing consum.pdfSuppose private savings is further separated into  representing consum.pdf
Suppose private savings is further separated into representing consum.pdf
 
Suppose that 60- of a population has been found to have blood type O-.pdf
Suppose that 60- of a population has been found to have blood type O-.pdfSuppose that 60- of a population has been found to have blood type O-.pdf
Suppose that 60- of a population has been found to have blood type O-.pdf
 
Suppose Statistics Canada reported that the savings rate went up durin.pdf
Suppose Statistics Canada reported that the savings rate went up durin.pdfSuppose Statistics Canada reported that the savings rate went up durin.pdf
Suppose Statistics Canada reported that the savings rate went up durin.pdf
 
Suppose Pr(A)-0-14 and Pr(B)-0-22- where A and B are mutually exclusiv.pdf
Suppose Pr(A)-0-14 and Pr(B)-0-22- where A and B are mutually exclusiv.pdfSuppose Pr(A)-0-14 and Pr(B)-0-22- where A and B are mutually exclusiv.pdf
Suppose Pr(A)-0-14 and Pr(B)-0-22- where A and B are mutually exclusiv.pdf
 
Suppose I write a threaded program to add together the two n-element v.pdf
Suppose I write a threaded program to add together the two n-element v.pdfSuppose I write a threaded program to add together the two n-element v.pdf
Suppose I write a threaded program to add together the two n-element v.pdf
 

Recently uploaded

Bossa N’ Roll Records by Ismael Vazquez.
Bossa N’ Roll Records by Ismael Vazquez.Bossa N’ Roll Records by Ismael Vazquez.
Bossa N’ Roll Records by Ismael Vazquez.
IsmaelVazquez38
 
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem studentsRHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
Himanshu Rai
 
Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
Krassimira Luka
 
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptxBIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
RidwanHassanYusuf
 
Bonku-Babus-Friend by Sathyajith Ray (9)
Bonku-Babus-Friend by Sathyajith Ray  (9)Bonku-Babus-Friend by Sathyajith Ray  (9)
Bonku-Babus-Friend by Sathyajith Ray (9)
nitinpv4ai
 
The basics of sentences session 7pptx.pptx
The basics of sentences session 7pptx.pptxThe basics of sentences session 7pptx.pptx
The basics of sentences session 7pptx.pptx
heathfieldcps1
 
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit InnovationLeveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
TechSoup
 
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptxPrésentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
siemaillard
 
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
indexPub
 
Wound healing PPT
Wound healing PPTWound healing PPT
Wound healing PPT
Jyoti Chand
 
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
PsychoTech Services
 
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
National Information Standards Organization (NISO)
 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
GeorgeMilliken2
 
How to deliver Powerpoint Presentations.pptx
How to deliver Powerpoint  Presentations.pptxHow to deliver Powerpoint  Presentations.pptx
How to deliver Powerpoint Presentations.pptx
HajraNaeem15
 
Standardized tool for Intelligence test.
Standardized tool for Intelligence test.Standardized tool for Intelligence test.
Standardized tool for Intelligence test.
deepaannamalai16
 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
iammrhaywood
 
Data Structure using C by Dr. K Adisesha .ppsx
Data Structure using C by Dr. K Adisesha .ppsxData Structure using C by Dr. K Adisesha .ppsx
Data Structure using C by Dr. K Adisesha .ppsx
Prof. Dr. K. Adisesha
 
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
imrankhan141184
 
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
TechSoup
 
Stack Memory Organization of 8086 Microprocessor
Stack Memory Organization of 8086 MicroprocessorStack Memory Organization of 8086 Microprocessor
Stack Memory Organization of 8086 Microprocessor
JomonJoseph58
 

Recently uploaded (20)

Bossa N’ Roll Records by Ismael Vazquez.
Bossa N’ Roll Records by Ismael Vazquez.Bossa N’ Roll Records by Ismael Vazquez.
Bossa N’ Roll Records by Ismael Vazquez.
 
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem studentsRHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
 
Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
 
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptxBIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
 
Bonku-Babus-Friend by Sathyajith Ray (9)
Bonku-Babus-Friend by Sathyajith Ray  (9)Bonku-Babus-Friend by Sathyajith Ray  (9)
Bonku-Babus-Friend by Sathyajith Ray (9)
 
The basics of sentences session 7pptx.pptx
The basics of sentences session 7pptx.pptxThe basics of sentences session 7pptx.pptx
The basics of sentences session 7pptx.pptx
 
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit InnovationLeveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
 
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptxPrésentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
 
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
 
Wound healing PPT
Wound healing PPTWound healing PPT
Wound healing PPT
 
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
 
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
 
How to deliver Powerpoint Presentations.pptx
How to deliver Powerpoint  Presentations.pptxHow to deliver Powerpoint  Presentations.pptx
How to deliver Powerpoint Presentations.pptx
 
Standardized tool for Intelligence test.
Standardized tool for Intelligence test.Standardized tool for Intelligence test.
Standardized tool for Intelligence test.
 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
 
Data Structure using C by Dr. K Adisesha .ppsx
Data Structure using C by Dr. K Adisesha .ppsxData Structure using C by Dr. K Adisesha .ppsx
Data Structure using C by Dr. K Adisesha .ppsx
 
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
 
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
 
Stack Memory Organization of 8086 Microprocessor
Stack Memory Organization of 8086 MicroprocessorStack Memory Organization of 8086 Microprocessor
Stack Memory Organization of 8086 Microprocessor
 

Suppose that the random variables X and Y have joint probability densi.pdf

  • 1. Suppose that the random variables X and Y have joint probability density function f(x, y) = c(x^2)y if 0 x 1, 0 y 1 0 otherwise (a) Find the value of c. (b) Find marginal probability density functions fX(x) and fY (y). (c) Find E(XY ), E(X), E(Y ), and cov(X, Y ). (d) Are the random variables X and Y independent? (e) Find Pr(X Y )