SlideShare a Scribd company logo
1 of 1
Download to read offline
Let X be the prive of a meal at a local diner( X = $8,$10,and $12) and let Y be the amount of tip
left per meal (Y = $1.50,$2 or $2.50). the joint probability function of X and Y is given by
a. Find f(X = 10, Y=2) and interpret what this value represents.
c. Find the marginal distributions of X and Y.
d. Determine if X and Y are independent Random Variables or not. Explain why or why
not.f(x,y)Y=1.50Y=2.00Y=2.50X=8.3.120X=10.15.135.025X=12.03.15.09
Solution

More Related Content

More from alokkesh

Fill in the blanksMicronutrients this refers to a sub-category o.pdf
Fill in the blanksMicronutrients this refers to a sub-category o.pdfFill in the blanksMicronutrients this refers to a sub-category o.pdf
Fill in the blanksMicronutrients this refers to a sub-category o.pdf
alokkesh
 
ecourses.pvamu.edu Help English United States en us) Question4 Ma.pdf
ecourses.pvamu.edu Help English United States en us) Question4 Ma.pdfecourses.pvamu.edu Help English United States en us) Question4 Ma.pdf
ecourses.pvamu.edu Help English United States en us) Question4 Ma.pdf
alokkesh
 
DiARTHROIDAL joints can be classified based on their characteristics.pdf
DiARTHROIDAL joints can be classified based on their characteristics.pdfDiARTHROIDAL joints can be classified based on their characteristics.pdf
DiARTHROIDAL joints can be classified based on their characteristics.pdf
alokkesh
 
Cite the distinction between graphite and carbon. Carbon and graphit.pdf
Cite the distinction between graphite and carbon.  Carbon and graphit.pdfCite the distinction between graphite and carbon.  Carbon and graphit.pdf
Cite the distinction between graphite and carbon. Carbon and graphit.pdf
alokkesh
 
Changes in the neutral or tan color of Christensen Urea agar broth to.pdf
Changes in the neutral or tan color of Christensen Urea agar broth to.pdfChanges in the neutral or tan color of Christensen Urea agar broth to.pdf
Changes in the neutral or tan color of Christensen Urea agar broth to.pdf
alokkesh
 
14. (TCO 1-6) Please select the statement which CORRECTLY links a fo.pdf
14. (TCO 1-6) Please select the statement which CORRECTLY links a fo.pdf14. (TCO 1-6) Please select the statement which CORRECTLY links a fo.pdf
14. (TCO 1-6) Please select the statement which CORRECTLY links a fo.pdf
alokkesh
 

More from alokkesh (20)

Fill in the blanksMicronutrients this refers to a sub-category o.pdf
Fill in the blanksMicronutrients this refers to a sub-category o.pdfFill in the blanksMicronutrients this refers to a sub-category o.pdf
Fill in the blanksMicronutrients this refers to a sub-category o.pdf
 
ecourses.pvamu.edu Help English United States en us) Question4 Ma.pdf
ecourses.pvamu.edu Help English United States en us) Question4 Ma.pdfecourses.pvamu.edu Help English United States en us) Question4 Ma.pdf
ecourses.pvamu.edu Help English United States en us) Question4 Ma.pdf
 
Explain why several versions of nMOS transistor models and pMOS trans.pdf
Explain why several versions of nMOS transistor models and pMOS trans.pdfExplain why several versions of nMOS transistor models and pMOS trans.pdf
Explain why several versions of nMOS transistor models and pMOS trans.pdf
 
Explain How Culture influences the way mangers perform their four ma.pdf
Explain How Culture influences the way mangers perform their four ma.pdfExplain How Culture influences the way mangers perform their four ma.pdf
Explain How Culture influences the way mangers perform their four ma.pdf
 
Describeillustrate the construction used by the ancient Indians to s.pdf
Describeillustrate the construction used by the ancient Indians to s.pdfDescribeillustrate the construction used by the ancient Indians to s.pdf
Describeillustrate the construction used by the ancient Indians to s.pdf
 
Describe the factors that contribute to a membrane potential. What i.pdf
Describe the factors that contribute to a membrane potential. What i.pdfDescribe the factors that contribute to a membrane potential. What i.pdf
Describe the factors that contribute to a membrane potential. What i.pdf
 
DiARTHROIDAL joints can be classified based on their characteristics.pdf
DiARTHROIDAL joints can be classified based on their characteristics.pdfDiARTHROIDAL joints can be classified based on their characteristics.pdf
DiARTHROIDAL joints can be classified based on their characteristics.pdf
 
Define and explain chemical equilibrium Include the defenition o.pdf
Define and explain chemical equilibrium Include the defenition o.pdfDefine and explain chemical equilibrium Include the defenition o.pdf
Define and explain chemical equilibrium Include the defenition o.pdf
 
Cite the distinction between graphite and carbon. Carbon and graphit.pdf
Cite the distinction between graphite and carbon.  Carbon and graphit.pdfCite the distinction between graphite and carbon.  Carbon and graphit.pdf
Cite the distinction between graphite and carbon. Carbon and graphit.pdf
 
C Language ProblemPlease Explain If int n1 = 5, and int d1 = 2, wh.pdf
C Language ProblemPlease Explain If int n1 = 5, and int d1 = 2, wh.pdfC Language ProblemPlease Explain If int n1 = 5, and int d1 = 2, wh.pdf
C Language ProblemPlease Explain If int n1 = 5, and int d1 = 2, wh.pdf
 
According to Cisco design theory for a fully switched network, hosts.pdf
According to Cisco design theory for a fully switched network, hosts.pdfAccording to Cisco design theory for a fully switched network, hosts.pdf
According to Cisco design theory for a fully switched network, hosts.pdf
 
A saturated sample has a mass 0.69 kilograms when wet and 0.5 kg whe.pdf
A saturated sample has a mass 0.69 kilograms when wet and 0.5 kg whe.pdfA saturated sample has a mass 0.69 kilograms when wet and 0.5 kg whe.pdf
A saturated sample has a mass 0.69 kilograms when wet and 0.5 kg whe.pdf
 
Changes in the neutral or tan color of Christensen Urea agar broth to.pdf
Changes in the neutral or tan color of Christensen Urea agar broth to.pdfChanges in the neutral or tan color of Christensen Urea agar broth to.pdf
Changes in the neutral or tan color of Christensen Urea agar broth to.pdf
 
A a randomly-chosen voter is a registered Democrat B they are regis.pdf
A a randomly-chosen voter is a registered Democrat B they are regis.pdfA a randomly-chosen voter is a registered Democrat B they are regis.pdf
A a randomly-chosen voter is a registered Democrat B they are regis.pdf
 
1.    Could the bailout by the Federal Reserve in 1998 and subsequen.pdf
1.    Could the bailout by the Federal Reserve in 1998 and subsequen.pdf1.    Could the bailout by the Federal Reserve in 1998 and subsequen.pdf
1.    Could the bailout by the Federal Reserve in 1998 and subsequen.pdf
 
14. (TCO 1-6) Please select the statement which CORRECTLY links a fo.pdf
14. (TCO 1-6) Please select the statement which CORRECTLY links a fo.pdf14. (TCO 1-6) Please select the statement which CORRECTLY links a fo.pdf
14. (TCO 1-6) Please select the statement which CORRECTLY links a fo.pdf
 
Write a command to change all B and B in file foo.html to STRO.pdf
Write a command to change all B and B in file foo.html to STRO.pdfWrite a command to change all B and B in file foo.html to STRO.pdf
Write a command to change all B and B in file foo.html to STRO.pdf
 
Which of the following statements about Stanley Miller’s experiment .pdf
Which of the following statements about Stanley Miller’s experiment .pdfWhich of the following statements about Stanley Miller’s experiment .pdf
Which of the following statements about Stanley Miller’s experiment .pdf
 
1. Describe in a simplied way, the components and variables of the p.pdf
1. Describe in a simplied way, the components and variables of the p.pdf1. Describe in a simplied way, the components and variables of the p.pdf
1. Describe in a simplied way, the components and variables of the p.pdf
 
What is the role of agar in a nutrient medium Itprovides nutrients.pdf
What is the role of agar in a nutrient medium Itprovides nutrients.pdfWhat is the role of agar in a nutrient medium Itprovides nutrients.pdf
What is the role of agar in a nutrient medium Itprovides nutrients.pdf
 

Recently uploaded

Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
AnaAcapella
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
EADTU
 
SPLICE Working Group: Reusable Code Examples
SPLICE Working Group:Reusable Code ExamplesSPLICE Working Group:Reusable Code Examples
SPLICE Working Group: Reusable Code Examples
Peter Brusilovsky
 
SURVEY I created for uni project research
SURVEY I created for uni project researchSURVEY I created for uni project research
SURVEY I created for uni project research
CaitlinCummins3
 
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
EADTU
 

Recently uploaded (20)

Supporting Newcomer Multilingual Learners
Supporting Newcomer  Multilingual LearnersSupporting Newcomer  Multilingual Learners
Supporting Newcomer Multilingual Learners
 
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
 
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfFICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
 
AIM of Education-Teachers Training-2024.ppt
AIM of Education-Teachers Training-2024.pptAIM of Education-Teachers Training-2024.ppt
AIM of Education-Teachers Training-2024.ppt
 
PSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptxPSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptx
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
 
SPLICE Working Group: Reusable Code Examples
SPLICE Working Group:Reusable Code ExamplesSPLICE Working Group:Reusable Code Examples
SPLICE Working Group: Reusable Code Examples
 
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
 
Observing-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptxObserving-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptx
 
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptxAnalyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
 
VAMOS CUIDAR DO NOSSO PLANETA! .
VAMOS CUIDAR DO NOSSO PLANETA!                    .VAMOS CUIDAR DO NOSSO PLANETA!                    .
VAMOS CUIDAR DO NOSSO PLANETA! .
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
 
SURVEY I created for uni project research
SURVEY I created for uni project researchSURVEY I created for uni project research
SURVEY I created for uni project research
 
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptxCOMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
 
e-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopale-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopal
 
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
 
The Liver & Gallbladder (Anatomy & Physiology).pptx
The Liver &  Gallbladder (Anatomy & Physiology).pptxThe Liver &  Gallbladder (Anatomy & Physiology).pptx
The Liver & Gallbladder (Anatomy & Physiology).pptx
 
Major project report on Tata Motors and its marketing strategies
Major project report on Tata Motors and its marketing strategiesMajor project report on Tata Motors and its marketing strategies
Major project report on Tata Motors and its marketing strategies
 
Graduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxGraduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptx
 

Let X be the prive of a meal at a local diner( X = $8,$10,and $12) a.pdf

  • 1. Let X be the prive of a meal at a local diner( X = $8,$10,and $12) and let Y be the amount of tip left per meal (Y = $1.50,$2 or $2.50). the joint probability function of X and Y is given by a. Find f(X = 10, Y=2) and interpret what this value represents. c. Find the marginal distributions of X and Y. d. Determine if X and Y are independent Random Variables or not. Explain why or why not.f(x,y)Y=1.50Y=2.00Y=2.50X=8.3.120X=10.15.135.025X=12.03.15.09 Solution