SlideShare a Scribd company logo
Suppose that X,Y, and Z are jointly distributed random variables, that is, they are defined on the
same sample space. Suppose that we also have the following. E(X)=7Var(X)=12E(Y)=2Var(Y)=19
E(Z)=6Var(Z)=17 Compute the values of the expressions below. E(1+Z)=E(42Y5Z)=Var(5Z)+4=E(
Z2)=

More Related Content

More from abishektex

Which of the following classes is not a class of risk manang.pdf
Which of the following classes is not a class of risk manang.pdfWhich of the following classes is not a class of risk manang.pdf
Which of the following classes is not a class of risk manang.pdf
abishektex
 
What gas is X oxygen O2 hydrogen H2 carbon dioxide CO.pdf
What gas is X  oxygen O2 hydrogen H2 carbon dioxide CO.pdfWhat gas is X  oxygen O2 hydrogen H2 carbon dioxide CO.pdf
What gas is X oxygen O2 hydrogen H2 carbon dioxide CO.pdf
abishektex
 
This problem is inspired by a study of the gender gap in e.pdf
This problem is inspired by a study of the gender gap in e.pdfThis problem is inspired by a study of the gender gap in e.pdf
This problem is inspired by a study of the gender gap in e.pdf
abishektex
 
The Transformational Leadership style has been identified as.pdf
The Transformational Leadership style has been identified as.pdfThe Transformational Leadership style has been identified as.pdf
The Transformational Leadership style has been identified as.pdf
abishektex
 
Church amp Dwight a large producer of sodium bicarbonate.pdf
Church amp Dwight a large producer of sodium bicarbonate.pdfChurch amp Dwight a large producer of sodium bicarbonate.pdf
Church amp Dwight a large producer of sodium bicarbonate.pdf
abishektex
 
Problem 209 Static Accounting changes identify type and .pdf
Problem 209 Static Accounting changes identify type and .pdfProblem 209 Static Accounting changes identify type and .pdf
Problem 209 Static Accounting changes identify type and .pdf
abishektex
 
1980lerde video kaset kiralama endstrisi ok sayda kk .pdf
1980lerde video kaset kiralama endstrisi ok sayda kk .pdf1980lerde video kaset kiralama endstrisi ok sayda kk .pdf
1980lerde video kaset kiralama endstrisi ok sayda kk .pdf
abishektex
 
Please read the case study below and apply conceptscontent .pdf
Please read the case study below and apply conceptscontent .pdfPlease read the case study below and apply conceptscontent .pdf
Please read the case study below and apply conceptscontent .pdf
abishektex
 
On July 10 2025 Ivanhoe Music sold CDs to retailers on acc.pdf
On July 10 2025 Ivanhoe Music sold CDs to retailers on acc.pdfOn July 10 2025 Ivanhoe Music sold CDs to retailers on acc.pdf
On July 10 2025 Ivanhoe Music sold CDs to retailers on acc.pdf
abishektex
 
Debe el gobierno de Estados Unidos regular el tipo de cambi.pdf
Debe el gobierno de Estados Unidos regular el tipo de cambi.pdfDebe el gobierno de Estados Unidos regular el tipo de cambi.pdf
Debe el gobierno de Estados Unidos regular el tipo de cambi.pdf
abishektex
 
mtiyazl Hisse Senedi ile ilgili olarak aadakilerden hangisi .pdf
mtiyazl Hisse Senedi ile ilgili olarak aadakilerden hangisi .pdfmtiyazl Hisse Senedi ile ilgili olarak aadakilerden hangisi .pdf
mtiyazl Hisse Senedi ile ilgili olarak aadakilerden hangisi .pdf
abishektex
 
Meet the superfans trying to save Tab In October 2020 the m.pdf
Meet the superfans trying to save Tab In October 2020 the m.pdfMeet the superfans trying to save Tab In October 2020 the m.pdf
Meet the superfans trying to save Tab In October 2020 the m.pdf
abishektex
 
Need this Urgent FInal answer is enough 3 What would b.pdf
Need this Urgent FInal answer is enough   3  What would b.pdfNeed this Urgent FInal answer is enough   3  What would b.pdf
Need this Urgent FInal answer is enough 3 What would b.pdf
abishektex
 
Last week you had to register 3 different patients within EH.pdf
Last week you had to register 3 different patients within EH.pdfLast week you had to register 3 different patients within EH.pdf
Last week you had to register 3 different patients within EH.pdf
abishektex
 
material and information flow map used by toyota just expla.pdf
material and information flow map used by toyota  just expla.pdfmaterial and information flow map used by toyota  just expla.pdf
material and information flow map used by toyota just expla.pdf
abishektex
 
Label the following structures ON BOTH PICTURES I dont ha.pdf
Label the following structures ON BOTH PICTURES  I dont ha.pdfLabel the following structures ON BOTH PICTURES  I dont ha.pdf
Label the following structures ON BOTH PICTURES I dont ha.pdf
abishektex
 
Los fondos de cobertura siguen estrategias de inversin tale.pdf
Los fondos de cobertura siguen estrategias de inversin tale.pdfLos fondos de cobertura siguen estrategias de inversin tale.pdf
Los fondos de cobertura siguen estrategias de inversin tale.pdf
abishektex
 
Instructions Due date 3142023 123000 PM List AlbumID A.pdf
Instructions Due date 3142023 123000 PM List AlbumID A.pdfInstructions Due date 3142023 123000 PM List AlbumID A.pdf
Instructions Due date 3142023 123000 PM List AlbumID A.pdf
abishektex
 
La Nrnberg Augsburg Maschinenwerke una de las empresas de .pdf
La Nrnberg Augsburg Maschinenwerke una de las empresas de .pdfLa Nrnberg Augsburg Maschinenwerke una de las empresas de .pdf
La Nrnberg Augsburg Maschinenwerke una de las empresas de .pdf
abishektex
 
31Deion has an idea for a new fast food restaurant he wants.pdf
31Deion has an idea for a new fast food restaurant he wants.pdf31Deion has an idea for a new fast food restaurant he wants.pdf
31Deion has an idea for a new fast food restaurant he wants.pdf
abishektex
 

More from abishektex (20)

Which of the following classes is not a class of risk manang.pdf
Which of the following classes is not a class of risk manang.pdfWhich of the following classes is not a class of risk manang.pdf
Which of the following classes is not a class of risk manang.pdf
 
What gas is X oxygen O2 hydrogen H2 carbon dioxide CO.pdf
What gas is X  oxygen O2 hydrogen H2 carbon dioxide CO.pdfWhat gas is X  oxygen O2 hydrogen H2 carbon dioxide CO.pdf
What gas is X oxygen O2 hydrogen H2 carbon dioxide CO.pdf
 
This problem is inspired by a study of the gender gap in e.pdf
This problem is inspired by a study of the gender gap in e.pdfThis problem is inspired by a study of the gender gap in e.pdf
This problem is inspired by a study of the gender gap in e.pdf
 
The Transformational Leadership style has been identified as.pdf
The Transformational Leadership style has been identified as.pdfThe Transformational Leadership style has been identified as.pdf
The Transformational Leadership style has been identified as.pdf
 
Church amp Dwight a large producer of sodium bicarbonate.pdf
Church amp Dwight a large producer of sodium bicarbonate.pdfChurch amp Dwight a large producer of sodium bicarbonate.pdf
Church amp Dwight a large producer of sodium bicarbonate.pdf
 
Problem 209 Static Accounting changes identify type and .pdf
Problem 209 Static Accounting changes identify type and .pdfProblem 209 Static Accounting changes identify type and .pdf
Problem 209 Static Accounting changes identify type and .pdf
 
1980lerde video kaset kiralama endstrisi ok sayda kk .pdf
1980lerde video kaset kiralama endstrisi ok sayda kk .pdf1980lerde video kaset kiralama endstrisi ok sayda kk .pdf
1980lerde video kaset kiralama endstrisi ok sayda kk .pdf
 
Please read the case study below and apply conceptscontent .pdf
Please read the case study below and apply conceptscontent .pdfPlease read the case study below and apply conceptscontent .pdf
Please read the case study below and apply conceptscontent .pdf
 
On July 10 2025 Ivanhoe Music sold CDs to retailers on acc.pdf
On July 10 2025 Ivanhoe Music sold CDs to retailers on acc.pdfOn July 10 2025 Ivanhoe Music sold CDs to retailers on acc.pdf
On July 10 2025 Ivanhoe Music sold CDs to retailers on acc.pdf
 
Debe el gobierno de Estados Unidos regular el tipo de cambi.pdf
Debe el gobierno de Estados Unidos regular el tipo de cambi.pdfDebe el gobierno de Estados Unidos regular el tipo de cambi.pdf
Debe el gobierno de Estados Unidos regular el tipo de cambi.pdf
 
mtiyazl Hisse Senedi ile ilgili olarak aadakilerden hangisi .pdf
mtiyazl Hisse Senedi ile ilgili olarak aadakilerden hangisi .pdfmtiyazl Hisse Senedi ile ilgili olarak aadakilerden hangisi .pdf
mtiyazl Hisse Senedi ile ilgili olarak aadakilerden hangisi .pdf
 
Meet the superfans trying to save Tab In October 2020 the m.pdf
Meet the superfans trying to save Tab In October 2020 the m.pdfMeet the superfans trying to save Tab In October 2020 the m.pdf
Meet the superfans trying to save Tab In October 2020 the m.pdf
 
Need this Urgent FInal answer is enough 3 What would b.pdf
Need this Urgent FInal answer is enough   3  What would b.pdfNeed this Urgent FInal answer is enough   3  What would b.pdf
Need this Urgent FInal answer is enough 3 What would b.pdf
 
Last week you had to register 3 different patients within EH.pdf
Last week you had to register 3 different patients within EH.pdfLast week you had to register 3 different patients within EH.pdf
Last week you had to register 3 different patients within EH.pdf
 
material and information flow map used by toyota just expla.pdf
material and information flow map used by toyota  just expla.pdfmaterial and information flow map used by toyota  just expla.pdf
material and information flow map used by toyota just expla.pdf
 
Label the following structures ON BOTH PICTURES I dont ha.pdf
Label the following structures ON BOTH PICTURES  I dont ha.pdfLabel the following structures ON BOTH PICTURES  I dont ha.pdf
Label the following structures ON BOTH PICTURES I dont ha.pdf
 
Los fondos de cobertura siguen estrategias de inversin tale.pdf
Los fondos de cobertura siguen estrategias de inversin tale.pdfLos fondos de cobertura siguen estrategias de inversin tale.pdf
Los fondos de cobertura siguen estrategias de inversin tale.pdf
 
Instructions Due date 3142023 123000 PM List AlbumID A.pdf
Instructions Due date 3142023 123000 PM List AlbumID A.pdfInstructions Due date 3142023 123000 PM List AlbumID A.pdf
Instructions Due date 3142023 123000 PM List AlbumID A.pdf
 
La Nrnberg Augsburg Maschinenwerke una de las empresas de .pdf
La Nrnberg Augsburg Maschinenwerke una de las empresas de .pdfLa Nrnberg Augsburg Maschinenwerke una de las empresas de .pdf
La Nrnberg Augsburg Maschinenwerke una de las empresas de .pdf
 
31Deion has an idea for a new fast food restaurant he wants.pdf
31Deion has an idea for a new fast food restaurant he wants.pdf31Deion has an idea for a new fast food restaurant he wants.pdf
31Deion has an idea for a new fast food restaurant he wants.pdf
 

Recently uploaded

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
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
amberjdewit93
 
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
 
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
 
BBR 2024 Summer Sessions Interview Training
BBR  2024 Summer Sessions Interview TrainingBBR  2024 Summer Sessions Interview Training
BBR 2024 Summer Sessions Interview Training
Katrina Pritchard
 
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
 
How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 InventoryHow to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
Celine George
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
mulvey2
 
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
 
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
 
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
 
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
 
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
 
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
 
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
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
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)
 
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRMHow to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Celine George
 
How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17
Celine George
 
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
 

Recently uploaded (20)

MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
 
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
 
PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.
 
BBR 2024 Summer Sessions Interview Training
BBR  2024 Summer Sessions Interview TrainingBBR  2024 Summer Sessions Interview Training
BBR 2024 Summer Sessions Interview Training
 
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
 
How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 InventoryHow to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
 
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
 
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
 
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
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
 
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
 
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
 
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
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.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
 
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRMHow to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
 
How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17
 
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...
 

Suppose that XY and Z are jointly distributed random varia.pdf

  • 1. Suppose that X,Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(X)=7Var(X)=12E(Y)=2Var(Y)=19 E(Z)=6Var(Z)=17 Compute the values of the expressions below. E(1+Z)=E(42Y5Z)=Var(5Z)+4=E( Z2)=