SlideShare a Scribd company logo
1 of 1
Download to read offline
Of 10 fish in a pond 4 are tagged. If three fish are caught and not thrown back into the pond what
is the probability that fewer than two of them are tagged?
Solution
Binomial Distribution
PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial
tagged (p) = 4/10 = 0.4
P( X < 2) = P(X=1) + P(X=0)
= ( 3 1 ) * 0.4^1 * ( 1- 0.4 ) ^2 + ( 3 0 ) * 0.4^0 * ( 1- 0.4 ) ^3
= 0.648

More Related Content

More from arjuntiwari586

Use the Java Thread class to demonstrate the following functionaliti.pdf
Use the Java Thread class to demonstrate the following functionaliti.pdfUse the Java Thread class to demonstrate the following functionaliti.pdf
Use the Java Thread class to demonstrate the following functionaliti.pdf
arjuntiwari586
 
The lineage that produced chimpanzees and humans split from other pri.pdf
The lineage that produced chimpanzees and humans split from other pri.pdfThe lineage that produced chimpanzees and humans split from other pri.pdf
The lineage that produced chimpanzees and humans split from other pri.pdf
arjuntiwari586
 
Prepare a 3-4 page, double-spaced paper (cite 3-4 reliable sources) .pdf
Prepare a 3-4 page, double-spaced paper (cite 3-4 reliable sources) .pdfPrepare a 3-4 page, double-spaced paper (cite 3-4 reliable sources) .pdf
Prepare a 3-4 page, double-spaced paper (cite 3-4 reliable sources) .pdf
arjuntiwari586
 
need help with this java lab please read below and follow the steps.pdf
need help with this java lab please read below and follow the steps.pdfneed help with this java lab please read below and follow the steps.pdf
need help with this java lab please read below and follow the steps.pdf
arjuntiwari586
 
package buttongui; import static com.sun.deploy.config.JREInf.pdf
package buttongui; import static com.sun.deploy.config.JREInf.pdfpackage buttongui; import static com.sun.deploy.config.JREInf.pdf
package buttongui; import static com.sun.deploy.config.JREInf.pdf
arjuntiwari586
 
How was the Declaration of Independence organized What practical pu.pdf
How was the Declaration of Independence organized What practical pu.pdfHow was the Declaration of Independence organized What practical pu.pdf
How was the Declaration of Independence organized What practical pu.pdf
arjuntiwari586
 
errno is an integer variable, defined in errno.h, that is set by sys.pdf
errno is an integer variable, defined in errno.h, that is set by sys.pdferrno is an integer variable, defined in errno.h, that is set by sys.pdf
errno is an integer variable, defined in errno.h, that is set by sys.pdf
arjuntiwari586
 
Distinguish between cellular and acellular. Give examples of microorg.pdf
Distinguish between cellular and acellular. Give examples of microorg.pdfDistinguish between cellular and acellular. Give examples of microorg.pdf
Distinguish between cellular and acellular. Give examples of microorg.pdf
arjuntiwari586
 

More from arjuntiwari586 (20)

uìdyov fotect peaga e (or ways co profecé se p protect e . Haa .pdf
uìdyov fotect peaga e (or ways co profecé se p protect e . Haa .pdfuìdyov fotect peaga e (or ways co profecé se p protect e . Haa .pdf
uìdyov fotect peaga e (or ways co profecé se p protect e . Haa .pdf
 
Use the Java Thread class to demonstrate the following functionaliti.pdf
Use the Java Thread class to demonstrate the following functionaliti.pdfUse the Java Thread class to demonstrate the following functionaliti.pdf
Use the Java Thread class to demonstrate the following functionaliti.pdf
 
Turner suppressor genes.... prevent gene expression of oncogenes. pre.pdf
Turner suppressor genes.... prevent gene expression of oncogenes. pre.pdfTurner suppressor genes.... prevent gene expression of oncogenes. pre.pdf
Turner suppressor genes.... prevent gene expression of oncogenes. pre.pdf
 
This image is a reminder that statistical significant is often set at.pdf
This image is a reminder that statistical significant is often set at.pdfThis image is a reminder that statistical significant is often set at.pdf
This image is a reminder that statistical significant is often set at.pdf
 
The state diagram shown up corresponds to a circuit implementation th.pdf
The state diagram shown up corresponds to a circuit implementation th.pdfThe state diagram shown up corresponds to a circuit implementation th.pdf
The state diagram shown up corresponds to a circuit implementation th.pdf
 
The lineage that produced chimpanzees and humans split from other pri.pdf
The lineage that produced chimpanzees and humans split from other pri.pdfThe lineage that produced chimpanzees and humans split from other pri.pdf
The lineage that produced chimpanzees and humans split from other pri.pdf
 
production deviance postconventional level primary stakeholders perso.pdf
production deviance postconventional level primary stakeholders perso.pdfproduction deviance postconventional level primary stakeholders perso.pdf
production deviance postconventional level primary stakeholders perso.pdf
 
Question 19 (1 point) The DuPont identity breaks down return on equit.pdf
Question 19 (1 point) The DuPont identity breaks down return on equit.pdfQuestion 19 (1 point) The DuPont identity breaks down return on equit.pdf
Question 19 (1 point) The DuPont identity breaks down return on equit.pdf
 
Prepare a 3-4 page, double-spaced paper (cite 3-4 reliable sources) .pdf
Prepare a 3-4 page, double-spaced paper (cite 3-4 reliable sources) .pdfPrepare a 3-4 page, double-spaced paper (cite 3-4 reliable sources) .pdf
Prepare a 3-4 page, double-spaced paper (cite 3-4 reliable sources) .pdf
 
need help with this java lab please read below and follow the steps.pdf
need help with this java lab please read below and follow the steps.pdfneed help with this java lab please read below and follow the steps.pdf
need help with this java lab please read below and follow the steps.pdf
 
Place all the characteristics of living organisms the answer box. Ch.pdf
Place all the characteristics of living organisms the answer box.  Ch.pdfPlace all the characteristics of living organisms the answer box.  Ch.pdf
Place all the characteristics of living organisms the answer box. Ch.pdf
 
LABELING ACTIVITY 2 (Rs 1-10) 10 10. 12. 13 14, 15 16 62 circulatory .pdf
LABELING ACTIVITY 2 (Rs 1-10) 10 10. 12. 13 14, 15 16 62 circulatory .pdfLABELING ACTIVITY 2 (Rs 1-10) 10 10. 12. 13 14, 15 16 62 circulatory .pdf
LABELING ACTIVITY 2 (Rs 1-10) 10 10. 12. 13 14, 15 16 62 circulatory .pdf
 
package buttongui; import static com.sun.deploy.config.JREInf.pdf
package buttongui; import static com.sun.deploy.config.JREInf.pdfpackage buttongui; import static com.sun.deploy.config.JREInf.pdf
package buttongui; import static com.sun.deploy.config.JREInf.pdf
 
Mr. Jones is admitted to the hospital with an exacerbation of heart .pdf
Mr. Jones is admitted to the hospital with an exacerbation of heart .pdfMr. Jones is admitted to the hospital with an exacerbation of heart .pdf
Mr. Jones is admitted to the hospital with an exacerbation of heart .pdf
 
How was the Declaration of Independence organized What practical pu.pdf
How was the Declaration of Independence organized What practical pu.pdfHow was the Declaration of Independence organized What practical pu.pdf
How was the Declaration of Independence organized What practical pu.pdf
 
For countless generations the Cornpones have been known for their .pdf
For countless generations the Cornpones have been known for their .pdfFor countless generations the Cornpones have been known for their .pdf
For countless generations the Cornpones have been known for their .pdf
 
Find the indicated area under the standard normal curve. Between z =.pdf
Find the indicated area under the standard normal curve. Between z =.pdfFind the indicated area under the standard normal curve. Between z =.pdf
Find the indicated area under the standard normal curve. Between z =.pdf
 
errno is an integer variable, defined in errno.h, that is set by sys.pdf
errno is an integer variable, defined in errno.h, that is set by sys.pdferrno is an integer variable, defined in errno.h, that is set by sys.pdf
errno is an integer variable, defined in errno.h, that is set by sys.pdf
 
During hibernation the ground squirrel has periodic arousals and nor.pdf
During hibernation the ground squirrel has periodic arousals and nor.pdfDuring hibernation the ground squirrel has periodic arousals and nor.pdf
During hibernation the ground squirrel has periodic arousals and nor.pdf
 
Distinguish between cellular and acellular. Give examples of microorg.pdf
Distinguish between cellular and acellular. Give examples of microorg.pdfDistinguish between cellular and acellular. Give examples of microorg.pdf
Distinguish between cellular and acellular. Give examples of microorg.pdf
 

Recently uploaded

會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
中 央社
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
中 央社
 

Recently uploaded (20)

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
 
How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17
 
8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management
 
Andreas Schleicher presents at the launch of What does child empowerment mean...
Andreas Schleicher presents at the launch of What does child empowerment mean...Andreas Schleicher presents at the launch of What does child empowerment mean...
Andreas Schleicher presents at the launch of What does child empowerment mean...
 
How to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptxHow to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptx
 
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community PartnershipsSpring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
 
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
 
ESSENTIAL of (CS/IT/IS) class 07 (Networks)
ESSENTIAL of (CS/IT/IS) class 07 (Networks)ESSENTIAL of (CS/IT/IS) class 07 (Networks)
ESSENTIAL of (CS/IT/IS) class 07 (Networks)
 
Trauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical PrinciplesTrauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical Principles
 
Mattingly "AI & Prompt Design: Named Entity Recognition"
Mattingly "AI & Prompt Design: Named Entity Recognition"Mattingly "AI & Prompt Design: Named Entity Recognition"
Mattingly "AI & Prompt Design: Named Entity Recognition"
 
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUMDEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
 
Book Review of Run For Your Life Powerpoint
Book Review of Run For Your Life PowerpointBook Review of Run For Your Life Powerpoint
Book Review of Run For Your Life Powerpoint
 
Including Mental Health Support in Project Delivery, 14 May.pdf
Including Mental Health Support in Project Delivery, 14 May.pdfIncluding Mental Health Support in Project Delivery, 14 May.pdf
Including Mental Health Support in Project Delivery, 14 May.pdf
 
Basic Civil Engineering notes on Transportation Engineering & Modes of Transport
Basic Civil Engineering notes on Transportation Engineering & Modes of TransportBasic Civil Engineering notes on Transportation Engineering & Modes of Transport
Basic Civil Engineering notes on Transportation Engineering & Modes of Transport
 
OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...
 
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
 
An overview of the various scriptures in Hinduism
An overview of the various scriptures in HinduismAn overview of the various scriptures in Hinduism
An overview of the various scriptures in Hinduism
 
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...
 
OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsOSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & Systems
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
 

Of 10 fish in a pond 4 are tagged. If three fish are caught and not .pdf

  • 1. Of 10 fish in a pond 4 are tagged. If three fish are caught and not thrown back into the pond what is the probability that fewer than two of them are tagged? Solution Binomial Distribution PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k Where k = number of successes in trials n = is the number of independent trials p = probability of success on each trial tagged (p) = 4/10 = 0.4 P( X < 2) = P(X=1) + P(X=0) = ( 3 1 ) * 0.4^1 * ( 1- 0.4 ) ^2 + ( 3 0 ) * 0.4^0 * ( 1- 0.4 ) ^3 = 0.648