SlideShare a Scribd company logo
6. (15 points) Let {N(t),t0} be a Poisson process with rate . Let Sn denote the time of the nth event.
(a) (5 points) Find E[S15]. (b) (5 points) Find E[S7N(3)=2]. (c) (5 points) Find E[N(40)N(30)N(10)=
15].

More Related Content

More from contact32

A function annotation also known as a type hint serves to .pdf
A function annotation also known as a type hint serves to .pdfA function annotation also known as a type hint serves to .pdf
A function annotation also known as a type hint serves to .pdf
contact32
 
Beckenworth had the following purchases and sales during the.pdf
Beckenworth had the following purchases and sales during the.pdfBeckenworth had the following purchases and sales during the.pdf
Beckenworth had the following purchases and sales during the.pdf
contact32
 
Part 1 True or False 16 marks Write True or false for th.pdf
Part 1 True or False 16 marks Write True or false for th.pdfPart 1 True or False 16 marks Write True or false for th.pdf
Part 1 True or False 16 marks Write True or false for th.pdf
contact32
 
Which of the following is the correct sequence for the germi.pdf
Which of the following is the correct sequence for the germi.pdfWhich of the following is the correct sequence for the germi.pdf
Which of the following is the correct sequence for the germi.pdf
contact32
 
Oriole Corporation issues 340000 of bonds for 343400 a.pdf
Oriole Corporation issues 340000 of bonds for 343400 a.pdfOriole Corporation issues 340000 of bonds for 343400 a.pdf
Oriole Corporation issues 340000 of bonds for 343400 a.pdf
contact32
 
You and a team of diverse scientists and astronauts have bee.pdf
You and a team of diverse scientists and astronauts have bee.pdfYou and a team of diverse scientists and astronauts have bee.pdf
You and a team of diverse scientists and astronauts have bee.pdf
contact32
 
You are working to your full scope as a Certificate IV gradu.pdf
You are working to your full scope as a Certificate IV gradu.pdfYou are working to your full scope as a Certificate IV gradu.pdf
You are working to your full scope as a Certificate IV gradu.pdf
contact32
 
Teresa has a deck of 10 cards numbered 1 through 10 She is.pdf
Teresa has a deck of 10 cards numbered 1 through 10  She is.pdfTeresa has a deck of 10 cards numbered 1 through 10  She is.pdf
Teresa has a deck of 10 cards numbered 1 through 10 She is.pdf
contact32
 
Tore ne to the irrit Blued fequiredb Eupeoce that Chajs.pdf
Tore ne to the irrit Blued fequiredb Eupeoce that Chajs.pdfTore ne to the irrit Blued fequiredb Eupeoce that Chajs.pdf
Tore ne to the irrit Blued fequiredb Eupeoce that Chajs.pdf
contact32
 
What gets said if I run the script below The variable globa.pdf
What gets said if I run the script below The variable globa.pdfWhat gets said if I run the script below The variable globa.pdf
What gets said if I run the script below The variable globa.pdf
contact32
 
include ltiostreamgt include ltstringgt include .pdf
include ltiostreamgt include ltstringgt include .pdfinclude ltiostreamgt include ltstringgt include .pdf
include ltiostreamgt include ltstringgt include .pdf
contact32
 
21 Ribozom antlamas ve dahili ribozom balangcnn ortak nokta.pdf
21 Ribozom antlamas ve dahili ribozom balangcnn ortak nokta.pdf21 Ribozom antlamas ve dahili ribozom balangcnn ortak nokta.pdf
21 Ribozom antlamas ve dahili ribozom balangcnn ortak nokta.pdf
contact32
 
In an analysis of hunting by African lions biologists filme.pdf
In an analysis of hunting by African lions biologists filme.pdfIn an analysis of hunting by African lions biologists filme.pdf
In an analysis of hunting by African lions biologists filme.pdf
contact32
 
Necesita ayuda con el siguiente caso de estudio Ralph es u.pdf
Necesita ayuda con el siguiente caso de estudio  Ralph es u.pdfNecesita ayuda con el siguiente caso de estudio  Ralph es u.pdf
Necesita ayuda con el siguiente caso de estudio Ralph es u.pdf
contact32
 
Qu haba en la Declaracin de Josefe Describi cmo ha.pdf
Qu haba en la Declaracin de Josefe  Describi cmo ha.pdfQu haba en la Declaracin de Josefe  Describi cmo ha.pdf
Qu haba en la Declaracin de Josefe Describi cmo ha.pdf
contact32
 
Sizce Kontroller ile kastedilen nedir Target veri ihlalin.pdf
Sizce Kontroller ile kastedilen nedir Target veri ihlalin.pdfSizce Kontroller ile kastedilen nedir Target veri ihlalin.pdf
Sizce Kontroller ile kastedilen nedir Target veri ihlalin.pdf
contact32
 
Robin Hood VAKA ALIMASI Joseph Lampel New York niversit.pdf
Robin Hood VAKA ALIMASI  Joseph Lampel New York niversit.pdfRobin Hood VAKA ALIMASI  Joseph Lampel New York niversit.pdf
Robin Hood VAKA ALIMASI Joseph Lampel New York niversit.pdf
contact32
 
1 Lat us suppose that the joint probability mass function o.pdf
1 Lat us suppose that the joint probability mass function o.pdf1 Lat us suppose that the joint probability mass function o.pdf
1 Lat us suppose that the joint probability mass function o.pdf
contact32
 
1 hty do yoe think social networks have grown so 1 haly in.pdf
1 hty do yoe think social networks have grown so 1 haly in.pdf1 hty do yoe think social networks have grown so 1 haly in.pdf
1 hty do yoe think social networks have grown so 1 haly in.pdf
contact32
 
On day 1 of the menstrual cycle FSH levels will be The fo.pdf
On day 1 of the menstrual cycle FSH levels will be  The fo.pdfOn day 1 of the menstrual cycle FSH levels will be  The fo.pdf
On day 1 of the menstrual cycle FSH levels will be The fo.pdf
contact32
 

More from contact32 (20)

A function annotation also known as a type hint serves to .pdf
A function annotation also known as a type hint serves to .pdfA function annotation also known as a type hint serves to .pdf
A function annotation also known as a type hint serves to .pdf
 
Beckenworth had the following purchases and sales during the.pdf
Beckenworth had the following purchases and sales during the.pdfBeckenworth had the following purchases and sales during the.pdf
Beckenworth had the following purchases and sales during the.pdf
 
Part 1 True or False 16 marks Write True or false for th.pdf
Part 1 True or False 16 marks Write True or false for th.pdfPart 1 True or False 16 marks Write True or false for th.pdf
Part 1 True or False 16 marks Write True or false for th.pdf
 
Which of the following is the correct sequence for the germi.pdf
Which of the following is the correct sequence for the germi.pdfWhich of the following is the correct sequence for the germi.pdf
Which of the following is the correct sequence for the germi.pdf
 
Oriole Corporation issues 340000 of bonds for 343400 a.pdf
Oriole Corporation issues 340000 of bonds for 343400 a.pdfOriole Corporation issues 340000 of bonds for 343400 a.pdf
Oriole Corporation issues 340000 of bonds for 343400 a.pdf
 
You and a team of diverse scientists and astronauts have bee.pdf
You and a team of diverse scientists and astronauts have bee.pdfYou and a team of diverse scientists and astronauts have bee.pdf
You and a team of diverse scientists and astronauts have bee.pdf
 
You are working to your full scope as a Certificate IV gradu.pdf
You are working to your full scope as a Certificate IV gradu.pdfYou are working to your full scope as a Certificate IV gradu.pdf
You are working to your full scope as a Certificate IV gradu.pdf
 
Teresa has a deck of 10 cards numbered 1 through 10 She is.pdf
Teresa has a deck of 10 cards numbered 1 through 10  She is.pdfTeresa has a deck of 10 cards numbered 1 through 10  She is.pdf
Teresa has a deck of 10 cards numbered 1 through 10 She is.pdf
 
Tore ne to the irrit Blued fequiredb Eupeoce that Chajs.pdf
Tore ne to the irrit Blued fequiredb Eupeoce that Chajs.pdfTore ne to the irrit Blued fequiredb Eupeoce that Chajs.pdf
Tore ne to the irrit Blued fequiredb Eupeoce that Chajs.pdf
 
What gets said if I run the script below The variable globa.pdf
What gets said if I run the script below The variable globa.pdfWhat gets said if I run the script below The variable globa.pdf
What gets said if I run the script below The variable globa.pdf
 
include ltiostreamgt include ltstringgt include .pdf
include ltiostreamgt include ltstringgt include .pdfinclude ltiostreamgt include ltstringgt include .pdf
include ltiostreamgt include ltstringgt include .pdf
 
21 Ribozom antlamas ve dahili ribozom balangcnn ortak nokta.pdf
21 Ribozom antlamas ve dahili ribozom balangcnn ortak nokta.pdf21 Ribozom antlamas ve dahili ribozom balangcnn ortak nokta.pdf
21 Ribozom antlamas ve dahili ribozom balangcnn ortak nokta.pdf
 
In an analysis of hunting by African lions biologists filme.pdf
In an analysis of hunting by African lions biologists filme.pdfIn an analysis of hunting by African lions biologists filme.pdf
In an analysis of hunting by African lions biologists filme.pdf
 
Necesita ayuda con el siguiente caso de estudio Ralph es u.pdf
Necesita ayuda con el siguiente caso de estudio  Ralph es u.pdfNecesita ayuda con el siguiente caso de estudio  Ralph es u.pdf
Necesita ayuda con el siguiente caso de estudio Ralph es u.pdf
 
Qu haba en la Declaracin de Josefe Describi cmo ha.pdf
Qu haba en la Declaracin de Josefe  Describi cmo ha.pdfQu haba en la Declaracin de Josefe  Describi cmo ha.pdf
Qu haba en la Declaracin de Josefe Describi cmo ha.pdf
 
Sizce Kontroller ile kastedilen nedir Target veri ihlalin.pdf
Sizce Kontroller ile kastedilen nedir Target veri ihlalin.pdfSizce Kontroller ile kastedilen nedir Target veri ihlalin.pdf
Sizce Kontroller ile kastedilen nedir Target veri ihlalin.pdf
 
Robin Hood VAKA ALIMASI Joseph Lampel New York niversit.pdf
Robin Hood VAKA ALIMASI  Joseph Lampel New York niversit.pdfRobin Hood VAKA ALIMASI  Joseph Lampel New York niversit.pdf
Robin Hood VAKA ALIMASI Joseph Lampel New York niversit.pdf
 
1 Lat us suppose that the joint probability mass function o.pdf
1 Lat us suppose that the joint probability mass function o.pdf1 Lat us suppose that the joint probability mass function o.pdf
1 Lat us suppose that the joint probability mass function o.pdf
 
1 hty do yoe think social networks have grown so 1 haly in.pdf
1 hty do yoe think social networks have grown so 1 haly in.pdf1 hty do yoe think social networks have grown so 1 haly in.pdf
1 hty do yoe think social networks have grown so 1 haly in.pdf
 
On day 1 of the menstrual cycle FSH levels will be The fo.pdf
On day 1 of the menstrual cycle FSH levels will be  The fo.pdfOn day 1 of the menstrual cycle FSH levels will be  The fo.pdf
On day 1 of the menstrual cycle FSH levels will be The fo.pdf
 

Recently uploaded

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
 
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
EugeneSaldivar
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
Peter Windle
 
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
RitikBhardwaj56
 
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
 
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdfUnit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Thiyagu K
 
Assignment_4_ArianaBusciglio Marvel(1).docx
Assignment_4_ArianaBusciglio Marvel(1).docxAssignment_4_ArianaBusciglio Marvel(1).docx
Assignment_4_ArianaBusciglio Marvel(1).docx
ArianaBusciglio
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
Delapenabediema
 
Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.
Ashokrao Mane college of Pharmacy Peth-Vadgaon
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Akanksha trivedi rama nursing college kanpur.
 
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
 
Unit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdfUnit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdf
Thiyagu K
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
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
 
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
 
Delivering Micro-Credentials in Technical and Vocational Education and Training
Delivering Micro-Credentials in Technical and Vocational Education and TrainingDelivering Micro-Credentials in Technical and Vocational Education and Training
Delivering Micro-Credentials in Technical and Vocational Education and Training
AG2 Design
 
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
 
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
Levi Shapiro
 
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
 

Recently uploaded (20)

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
 
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
 
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
 
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdfUnit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdf
 
Assignment_4_ArianaBusciglio Marvel(1).docx
Assignment_4_ArianaBusciglio Marvel(1).docxAssignment_4_ArianaBusciglio Marvel(1).docx
Assignment_4_ArianaBusciglio Marvel(1).docx
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
 
Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
 
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
 
Unit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdfUnit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdf
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
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
 
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
 
Delivering Micro-Credentials in Technical and Vocational Education and Training
Delivering Micro-Credentials in Technical and Vocational Education and TrainingDelivering Micro-Credentials in Technical and Vocational Education and Training
Delivering Micro-Credentials in Technical and Vocational Education and Training
 
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
 
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
 
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
 

6 15 points Let Ntt0 be a Poisson process with rate .pdf

  • 1. 6. (15 points) Let {N(t),t0} be a Poisson process with rate . Let Sn denote the time of the nth event. (a) (5 points) Find E[S15]. (b) (5 points) Find E[S7N(3)=2]. (c) (5 points) Find E[N(40)N(30)N(10)= 15].