SlideShare a Scribd company logo
(4) Let X(t) be a Poisson process (cf. chapter 4 , page 152 ) with rate describing the number of
particles emitted from a radioactive substance in time t. Let T be the time from now until the next
particle is emitted. Then T is a continuous random variable (it can take any nonnegative value in R
, as opposed to a discrete set of numbers such as the integers). Compute the PDF and CDF of T.

More Related Content

More from abhitravel01

The characteristics of a liability include Group of answe.pdf
The characteristics of a liability include   Group of answe.pdfThe characteristics of a liability include   Group of answe.pdf
The characteristics of a liability include Group of answe.pdf
abhitravel01
 
T F 1 A project is a set of activities onetime something.pdf
T F 1 A project is a set of activities onetime something.pdfT F 1 A project is a set of activities onetime something.pdf
T F 1 A project is a set of activities onetime something.pdf
abhitravel01
 
subsequent days 500 day What is the total cost of the pro.pdf
subsequent days 500 day What is the total cost of the pro.pdfsubsequent days 500 day What is the total cost of the pro.pdf
subsequent days 500 day What is the total cost of the pro.pdf
abhitravel01
 
qs1 1 Let X1Xn be a random sample from a distribution wi.pdf
qs1 1 Let X1Xn be a random sample from a distribution wi.pdfqs1 1 Let X1Xn be a random sample from a distribution wi.pdf
qs1 1 Let X1Xn be a random sample from a distribution wi.pdf
abhitravel01
 
Q1 Using the table below answer the following questions D.pdf
Q1 Using the table below answer the following questions D.pdfQ1 Using the table below answer the following questions D.pdf
Q1 Using the table below answer the following questions D.pdf
abhitravel01
 
If X is a continuous random variable with probability densit.pdf
If X is a continuous random variable with probability densit.pdfIf X is a continuous random variable with probability densit.pdf
If X is a continuous random variable with probability densit.pdf
abhitravel01
 
Pozisyon Analizi Anketinin PAQ bir avantaj udur PAQ ara.pdf
Pozisyon Analizi Anketinin PAQ bir avantaj udur   PAQ ara.pdfPozisyon Analizi Anketinin PAQ bir avantaj udur   PAQ ara.pdf
Pozisyon Analizi Anketinin PAQ bir avantaj udur PAQ ara.pdf
abhitravel01
 
Mr Hollywood opened a health food consulting business on Oc.pdf
Mr Hollywood opened a health food consulting business on Oc.pdfMr Hollywood opened a health food consulting business on Oc.pdf
Mr Hollywood opened a health food consulting business on Oc.pdf
abhitravel01
 
Metaphase Anaphase Telophase Multiple Choice Answers 4.pdf
Metaphase Anaphase Telophase Multiple Choice Answers 4.pdfMetaphase Anaphase Telophase Multiple Choice Answers 4.pdf
Metaphase Anaphase Telophase Multiple Choice Answers 4.pdf
abhitravel01
 
mitosis and division cytoplasm a functions in sexual reprodu.pdf
mitosis and division cytoplasm a functions in sexual reprodu.pdfmitosis and division cytoplasm a functions in sexual reprodu.pdf
mitosis and division cytoplasm a functions in sexual reprodu.pdf
abhitravel01
 
Ltfen aadaki makaleyi kendi kelimelerinizle zetleyin intih.pdf
Ltfen aadaki makaleyi kendi kelimelerinizle zetleyin intih.pdfLtfen aadaki makaleyi kendi kelimelerinizle zetleyin intih.pdf
Ltfen aadaki makaleyi kendi kelimelerinizle zetleyin intih.pdf
abhitravel01
 
Makale Bulgular Her bir makalenin bulgular nelerdir ve sz .pdf
Makale Bulgular  Her bir makalenin bulgular nelerdir ve sz .pdfMakale Bulgular  Her bir makalenin bulgular nelerdir ve sz .pdf
Makale Bulgular Her bir makalenin bulgular nelerdir ve sz .pdf
abhitravel01
 
List and decribe the 5 components of emotional intelligence.pdf
List and decribe the 5 components of emotional intelligence.pdfList and decribe the 5 components of emotional intelligence.pdf
List and decribe the 5 components of emotional intelligence.pdf
abhitravel01
 
In the pepsin pathway if there was a large buildup of peps.pdf
In the pepsin pathway if there was a large buildup of peps.pdfIn the pepsin pathway if there was a large buildup of peps.pdf
In the pepsin pathway if there was a large buildup of peps.pdf
abhitravel01
 
Given the following Balance Sheets and the Income Statement .pdf
Given the following Balance Sheets and the Income Statement .pdfGiven the following Balance Sheets and the Income Statement .pdf
Given the following Balance Sheets and the Income Statement .pdf
abhitravel01
 
Imagine that you are a contestant on the classic television .pdf
Imagine that you are a contestant on the classic television .pdfImagine that you are a contestant on the classic television .pdf
Imagine that you are a contestant on the classic television .pdf
abhitravel01
 
Jerry tiene una utilidad dada por u x 1 x 2 3x 1 +5x 2.pdf
Jerry tiene una utilidad dada por u x 1 x 2   3x 1 +5x 2.pdfJerry tiene una utilidad dada por u x 1 x 2   3x 1 +5x 2.pdf
Jerry tiene una utilidad dada por u x 1 x 2 3x 1 +5x 2.pdf
abhitravel01
 
I NEED HELP DCOM 224 IAM is used to identify and authen.pdf
I NEED HELP DCOM 224   IAM is used to identify and authen.pdfI NEED HELP DCOM 224   IAM is used to identify and authen.pdf
I NEED HELP DCOM 224 IAM is used to identify and authen.pdf
abhitravel01
 
gwp1p1pmax0ypxpTw.pdf
gwp1p1pmax0ypxpTw.pdfgwp1p1pmax0ypxpTw.pdf
gwp1p1pmax0ypxpTw.pdf
abhitravel01
 
Gibsal Suaneis Practices Clepter 5 iocaripe Thery are con.pdf
Gibsal Suaneis Practices  Clepter 5 iocaripe Thery are con.pdfGibsal Suaneis Practices  Clepter 5 iocaripe Thery are con.pdf
Gibsal Suaneis Practices Clepter 5 iocaripe Thery are con.pdf
abhitravel01
 

More from abhitravel01 (20)

The characteristics of a liability include Group of answe.pdf
The characteristics of a liability include   Group of answe.pdfThe characteristics of a liability include   Group of answe.pdf
The characteristics of a liability include Group of answe.pdf
 
T F 1 A project is a set of activities onetime something.pdf
T F 1 A project is a set of activities onetime something.pdfT F 1 A project is a set of activities onetime something.pdf
T F 1 A project is a set of activities onetime something.pdf
 
subsequent days 500 day What is the total cost of the pro.pdf
subsequent days 500 day What is the total cost of the pro.pdfsubsequent days 500 day What is the total cost of the pro.pdf
subsequent days 500 day What is the total cost of the pro.pdf
 
qs1 1 Let X1Xn be a random sample from a distribution wi.pdf
qs1 1 Let X1Xn be a random sample from a distribution wi.pdfqs1 1 Let X1Xn be a random sample from a distribution wi.pdf
qs1 1 Let X1Xn be a random sample from a distribution wi.pdf
 
Q1 Using the table below answer the following questions D.pdf
Q1 Using the table below answer the following questions D.pdfQ1 Using the table below answer the following questions D.pdf
Q1 Using the table below answer the following questions D.pdf
 
If X is a continuous random variable with probability densit.pdf
If X is a continuous random variable with probability densit.pdfIf X is a continuous random variable with probability densit.pdf
If X is a continuous random variable with probability densit.pdf
 
Pozisyon Analizi Anketinin PAQ bir avantaj udur PAQ ara.pdf
Pozisyon Analizi Anketinin PAQ bir avantaj udur   PAQ ara.pdfPozisyon Analizi Anketinin PAQ bir avantaj udur   PAQ ara.pdf
Pozisyon Analizi Anketinin PAQ bir avantaj udur PAQ ara.pdf
 
Mr Hollywood opened a health food consulting business on Oc.pdf
Mr Hollywood opened a health food consulting business on Oc.pdfMr Hollywood opened a health food consulting business on Oc.pdf
Mr Hollywood opened a health food consulting business on Oc.pdf
 
Metaphase Anaphase Telophase Multiple Choice Answers 4.pdf
Metaphase Anaphase Telophase Multiple Choice Answers 4.pdfMetaphase Anaphase Telophase Multiple Choice Answers 4.pdf
Metaphase Anaphase Telophase Multiple Choice Answers 4.pdf
 
mitosis and division cytoplasm a functions in sexual reprodu.pdf
mitosis and division cytoplasm a functions in sexual reprodu.pdfmitosis and division cytoplasm a functions in sexual reprodu.pdf
mitosis and division cytoplasm a functions in sexual reprodu.pdf
 
Ltfen aadaki makaleyi kendi kelimelerinizle zetleyin intih.pdf
Ltfen aadaki makaleyi kendi kelimelerinizle zetleyin intih.pdfLtfen aadaki makaleyi kendi kelimelerinizle zetleyin intih.pdf
Ltfen aadaki makaleyi kendi kelimelerinizle zetleyin intih.pdf
 
Makale Bulgular Her bir makalenin bulgular nelerdir ve sz .pdf
Makale Bulgular  Her bir makalenin bulgular nelerdir ve sz .pdfMakale Bulgular  Her bir makalenin bulgular nelerdir ve sz .pdf
Makale Bulgular Her bir makalenin bulgular nelerdir ve sz .pdf
 
List and decribe the 5 components of emotional intelligence.pdf
List and decribe the 5 components of emotional intelligence.pdfList and decribe the 5 components of emotional intelligence.pdf
List and decribe the 5 components of emotional intelligence.pdf
 
In the pepsin pathway if there was a large buildup of peps.pdf
In the pepsin pathway if there was a large buildup of peps.pdfIn the pepsin pathway if there was a large buildup of peps.pdf
In the pepsin pathway if there was a large buildup of peps.pdf
 
Given the following Balance Sheets and the Income Statement .pdf
Given the following Balance Sheets and the Income Statement .pdfGiven the following Balance Sheets and the Income Statement .pdf
Given the following Balance Sheets and the Income Statement .pdf
 
Imagine that you are a contestant on the classic television .pdf
Imagine that you are a contestant on the classic television .pdfImagine that you are a contestant on the classic television .pdf
Imagine that you are a contestant on the classic television .pdf
 
Jerry tiene una utilidad dada por u x 1 x 2 3x 1 +5x 2.pdf
Jerry tiene una utilidad dada por u x 1 x 2   3x 1 +5x 2.pdfJerry tiene una utilidad dada por u x 1 x 2   3x 1 +5x 2.pdf
Jerry tiene una utilidad dada por u x 1 x 2 3x 1 +5x 2.pdf
 
I NEED HELP DCOM 224 IAM is used to identify and authen.pdf
I NEED HELP DCOM 224   IAM is used to identify and authen.pdfI NEED HELP DCOM 224   IAM is used to identify and authen.pdf
I NEED HELP DCOM 224 IAM is used to identify and authen.pdf
 
gwp1p1pmax0ypxpTw.pdf
gwp1p1pmax0ypxpTw.pdfgwp1p1pmax0ypxpTw.pdf
gwp1p1pmax0ypxpTw.pdf
 
Gibsal Suaneis Practices Clepter 5 iocaripe Thery are con.pdf
Gibsal Suaneis Practices  Clepter 5 iocaripe Thery are con.pdfGibsal Suaneis Practices  Clepter 5 iocaripe Thery are con.pdf
Gibsal Suaneis Practices Clepter 5 iocaripe Thery are con.pdf
 

Recently uploaded

Digital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and ResearchDigital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and Research
Vikramjit Singh
 
Home assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdfHome assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdf
Tamralipta Mahavidyalaya
 
The approach at University of Liverpool.pptx
The approach at University of Liverpool.pptxThe approach at University of Liverpool.pptx
The approach at University of Liverpool.pptx
Jisc
 
2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...
Sandy Millin
 
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
 
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
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
JosvitaDsouza2
 
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
 
Model Attribute Check Company Auto Property
Model Attribute  Check Company Auto PropertyModel Attribute  Check Company Auto Property
Model Attribute Check Company Auto Property
Celine George
 
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
Nguyen Thanh Tu Collection
 
The Roman Empire A Historical Colossus.pdf
The Roman Empire A Historical Colossus.pdfThe Roman Empire A Historical Colossus.pdf
The Roman Empire A Historical Colossus.pdf
kaushalkr1407
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
Jheel Barad
 
Polish students' mobility in the Czech Republic
Polish students' mobility in the Czech RepublicPolish students' mobility in the Czech Republic
Polish students' mobility in the Czech Republic
Anna Sz.
 
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
 
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
 
Chapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptxChapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
"Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe..."Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe...
SACHIN R KONDAGURI
 
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
 
678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf
CarlosHernanMontoyab2
 
How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...
Jisc
 

Recently uploaded (20)

Digital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and ResearchDigital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and Research
 
Home assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdfHome assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdf
 
The approach at University of Liverpool.pptx
The approach at University of Liverpool.pptxThe approach at University of Liverpool.pptx
The approach at University of Liverpool.pptx
 
2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...
 
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
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
 
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...
 
Model Attribute Check Company Auto Property
Model Attribute  Check Company Auto PropertyModel Attribute  Check Company Auto Property
Model Attribute Check Company Auto Property
 
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
 
The Roman Empire A Historical Colossus.pdf
The Roman Empire A Historical Colossus.pdfThe Roman Empire A Historical Colossus.pdf
The Roman Empire A Historical Colossus.pdf
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
 
Polish students' mobility in the Czech Republic
Polish students' mobility in the Czech RepublicPolish students' mobility in the Czech Republic
Polish students' mobility in the Czech Republic
 
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
 
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
 
Chapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptxChapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptx
 
"Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe..."Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe...
 
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
 
678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf
 
How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...
 

4 Let Xt be a Poisson process cf chapter 4 page 152 .pdf

  • 1. (4) Let X(t) be a Poisson process (cf. chapter 4 , page 152 ) with rate describing the number of particles emitted from a radioactive substance in time t. Let T be the time from now until the next particle is emitted. Then T is a continuous random variable (it can take any nonnegative value in R , as opposed to a discrete set of numbers such as the integers). Compute the PDF and CDF of T.