SlideShare una empresa de Scribd logo

Probability And Random Variable Lecture(Lec8)

•Descargar como PPT, PDF•
•
University of Gujrat, Pakistan
University of Gujrat, Pakistan

This ppt is prepared for engineering class. Random variable and stochastic prosses and probability.

1 de 21
Lecture 8 Expectation of a Random Variable
•Integration by parts
See C-59 for end solution page 243
Functions to calculate moments • Characteristic function • Moment generating function
Characteristic function of Exponential Random Variable
Probability And Random Variable Lecture(Lec8)
Probability And Random Variable Lecture(Lec8)

Recomendados

Lecture slides stats1.13.l07.air
Lecture slides stats1.13.l07.airLecture slides stats1.13.l07.air
Lecture slides stats1.13.l07.airatutor_te
 
Intro probability 3
Intro probability 3Intro probability 3
Intro probability 3Phong Vo
 
Intro probability 1
Intro probability 1Intro probability 1
Intro probability 1Phong Vo
 
Attractive ppt on Hypothesis by ammara aftab
Attractive ppt on Hypothesis by ammara aftabAttractive ppt on Hypothesis by ammara aftab
Attractive ppt on Hypothesis by ammara aftabUniversity of Karachi
 
Bivariate data
Bivariate dataBivariate data
Bivariate datajulienorman80065
 
Exploring bivariate data
Exploring bivariate dataExploring bivariate data
Exploring bivariate dataUlster BOCES
 
Intro probability 4
Intro probability 4Intro probability 4
Intro probability 4Phong Vo
 
Intro probability 2
Intro probability 2Intro probability 2
Intro probability 2Phong Vo
 

Recomendados

Lecture slides stats1.13.l07.air
Lecture slides stats1.13.l07.airLecture slides stats1.13.l07.air
Lecture slides stats1.13.l07.airatutor_te
 
Intro probability 3
Intro probability 3Intro probability 3
Intro probability 3Phong Vo
 
Intro probability 1
Intro probability 1Intro probability 1
Intro probability 1Phong Vo
 
Attractive ppt on Hypothesis by ammara aftab
Attractive ppt on Hypothesis by ammara aftabAttractive ppt on Hypothesis by ammara aftab
Attractive ppt on Hypothesis by ammara aftabUniversity of Karachi
 
Bivariate data
Bivariate dataBivariate data
Bivariate datajulienorman80065
 
Exploring bivariate data
Exploring bivariate dataExploring bivariate data
Exploring bivariate dataUlster BOCES
 
Intro probability 4
Intro probability 4Intro probability 4
Intro probability 4Phong Vo
 
Intro probability 2
Intro probability 2Intro probability 2
Intro probability 2Phong Vo
 
Sampling and Sampling Distributions
Sampling and Sampling DistributionsSampling and Sampling Distributions
Sampling and Sampling DistributionsBk Islam Mumitul
 
Sampling distribution concepts
Sampling distribution conceptsSampling distribution concepts
Sampling distribution conceptsumar sheikh
 
Introduction to hypothesis testing ppt @ bec doms
Introduction to hypothesis testing ppt @ bec domsIntroduction to hypothesis testing ppt @ bec doms
Introduction to hypothesis testing ppt @ bec domsBabasab Patil
 
Discrete Probability Distributions
Discrete Probability DistributionsDiscrete Probability Distributions
Discrete Probability Distributionsmandalina landy
 
Discrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec domsDiscrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec domsBabasab Patil
 
Sampling distribution
Sampling distributionSampling distribution
Sampling distributionNilanjan Bhaumik
 
Attribution theory
Attribution theoryAttribution theory
Attribution theoryMuhammad Sohaib Afzaal
 
ANOVA II
ANOVA IIANOVA II
ANOVA IIJames Neill
 
Attribution Theory ppt
Attribution Theory pptAttribution Theory ppt
Attribution Theory pptAbhishek Panda
 
Multiple Linear Regression II and ANOVA I
Multiple Linear Regression II and ANOVA IMultiple Linear Regression II and ANOVA I
Multiple Linear Regression II and ANOVA IJames Neill
 
Data analysis powerpoint
Data analysis powerpointData analysis powerpoint
Data analysis powerpointSarah Hallum
 
Multiple linear regression II
Multiple linear regression IIMultiple linear regression II
Multiple linear regression IIJames Neill
 
Multiple linear regression
Multiple linear regressionMultiple linear regression
Multiple linear regressionJames Neill
 
Test of hypothesis
Test of hypothesisTest of hypothesis
Test of hypothesisvikramlawand
 
Hypothesis testing ppt final
Hypothesis testing ppt finalHypothesis testing ppt final
Hypothesis testing ppt finalpiyushdhaker
 
Quantitative Data Analysis
Quantitative Data AnalysisQuantitative Data Analysis
Quantitative Data AnalysisAsma Muhamad
 
Hypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-testHypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-testShakehand with Life
 
Natural disasters of pakistan
Natural disasters of pakistanNatural disasters of pakistan
Natural disasters of pakistanUniversity of Gujrat, Pakistan
 
Dual combustion cycle
Dual combustion cycleDual combustion cycle
Dual combustion cycleUniversity of Gujrat, Pakistan
 
Diesel cycle
Diesel cycleDiesel cycle
Diesel cycleUniversity of Gujrat, Pakistan
 
Carnot cycle
Carnot cycleCarnot cycle
Carnot cycleUniversity of Gujrat, Pakistan
 
Brayton cycle
Brayton cycleBrayton cycle
Brayton cycleUniversity of Gujrat, Pakistan
 

Más contenido relacionado

Destacado

Sampling and Sampling Distributions
Sampling and Sampling DistributionsSampling and Sampling Distributions
Sampling and Sampling DistributionsBk Islam Mumitul
 
Sampling distribution concepts
Sampling distribution conceptsSampling distribution concepts
Sampling distribution conceptsumar sheikh
 
Introduction to hypothesis testing ppt @ bec doms
Introduction to hypothesis testing ppt @ bec domsIntroduction to hypothesis testing ppt @ bec doms
Introduction to hypothesis testing ppt @ bec domsBabasab Patil
 
Discrete Probability Distributions
Discrete Probability DistributionsDiscrete Probability Distributions
Discrete Probability Distributionsmandalina landy
 
Discrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec domsDiscrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec domsBabasab Patil
 
Attribution Theory ppt
Attribution Theory pptAttribution Theory ppt
Attribution Theory pptAbhishek Panda
 
Multiple Linear Regression II and ANOVA I
Multiple Linear Regression II and ANOVA IMultiple Linear Regression II and ANOVA I
Multiple Linear Regression II and ANOVA IJames Neill
 
Data analysis powerpoint
Data analysis powerpointData analysis powerpoint
Data analysis powerpointSarah Hallum
 
Multiple linear regression II
Multiple linear regression IIMultiple linear regression II
Multiple linear regression IIJames Neill
 
Multiple linear regression
Multiple linear regressionMultiple linear regression
Multiple linear regressionJames Neill
 
Test of hypothesis
Test of hypothesisTest of hypothesis
Test of hypothesisvikramlawand
 
Hypothesis testing ppt final
Hypothesis testing ppt finalHypothesis testing ppt final
Hypothesis testing ppt finalpiyushdhaker
 
Quantitative Data Analysis
Quantitative Data AnalysisQuantitative Data Analysis
Quantitative Data AnalysisAsma Muhamad
 
Hypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-testHypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-testShakehand with Life
 

Destacado (17)

Sampling and Sampling Distributions
Sampling and Sampling DistributionsSampling and Sampling Distributions
Sampling and Sampling Distributions
 
Sampling distribution concepts
Sampling distribution conceptsSampling distribution concepts
Sampling distribution concepts
 
Introduction to hypothesis testing ppt @ bec doms
Introduction to hypothesis testing ppt @ bec domsIntroduction to hypothesis testing ppt @ bec doms
Introduction to hypothesis testing ppt @ bec doms
 
Discrete Probability Distributions
Discrete Probability DistributionsDiscrete Probability Distributions
Discrete Probability Distributions
 
Discrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec domsDiscrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec doms
 
Sampling distribution
Sampling distributionSampling distribution
Sampling distribution
 
Attribution theory
Attribution theoryAttribution theory
Attribution theory
 
ANOVA II
ANOVA IIANOVA II
ANOVA II
 
Attribution Theory ppt
Attribution Theory pptAttribution Theory ppt
Attribution Theory ppt
 
Multiple Linear Regression II and ANOVA I
Multiple Linear Regression II and ANOVA IMultiple Linear Regression II and ANOVA I
Multiple Linear Regression II and ANOVA I
 
Data analysis powerpoint
Data analysis powerpointData analysis powerpoint
Data analysis powerpoint
 
Multiple linear regression II
Multiple linear regression IIMultiple linear regression II
Multiple linear regression II
 
Multiple linear regression
Multiple linear regressionMultiple linear regression
Multiple linear regression
 
Test of hypothesis
Test of hypothesisTest of hypothesis
Test of hypothesis
 
Hypothesis testing ppt final
Hypothesis testing ppt finalHypothesis testing ppt final
Hypothesis testing ppt final
 
Quantitative Data Analysis
Quantitative Data AnalysisQuantitative Data Analysis
Quantitative Data Analysis
 
Hypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-testHypothesis testing; z test, t-test. f-test
Hypothesis testing; z test, t-test. f-test
 

Más de University of Gujrat, Pakistan

Constitutional development of pakistan since 1947 to thereayf
Constitutional development of pakistan since 1947 to thereayfConstitutional development of pakistan since 1947 to thereayf
Constitutional development of pakistan since 1947 to thereayfUniversity of Gujrat, Pakistan
 
Multiplication & division instructions microprocessor 8086
Multiplication & division instructions microprocessor 8086Multiplication & division instructions microprocessor 8086
Multiplication & division instructions microprocessor 8086University of Gujrat, Pakistan
 
Passive Thermal management for avionics in high temperature environment
Passive Thermal management for avionics in high temperature environmentPassive Thermal management for avionics in high temperature environment
Passive Thermal management for avionics in high temperature environmentUniversity of Gujrat, Pakistan
 
Future Integrated Systems Concept for Preventing Aircraft Loss-of-Control (L...
Future Integrated Systems Concept for Preventing Aircraft Loss-of-Control (L...Future Integrated Systems Concept for Preventing Aircraft Loss-of-Control (L...
Future Integrated Systems Concept for Preventing Aircraft Loss-of-Control (L...University of Gujrat, Pakistan
 
Hardware implementation of cots avionics system on unmanned
Hardware implementation of cots avionics system on unmannedHardware implementation of cots avionics system on unmanned
Hardware implementation of cots avionics system on unmannedUniversity of Gujrat, Pakistan
 
A wireless sensors network in Aircraft Control Systems
A wireless sensors network in Aircraft Control SystemsA wireless sensors network in Aircraft Control Systems
A wireless sensors network in Aircraft Control SystemsUniversity of Gujrat, Pakistan
 

Más de University of Gujrat, Pakistan (20)

Natural disasters of pakistan
Natural disasters of pakistanNatural disasters of pakistan
Natural disasters of pakistan
 
Dual combustion cycle
Dual combustion cycleDual combustion cycle
Dual combustion cycle
 
Diesel cycle
Diesel cycleDiesel cycle
Diesel cycle
 
Carnot cycle
Carnot cycleCarnot cycle
Carnot cycle
 
Brayton cycle
Brayton cycleBrayton cycle
Brayton cycle
 
Constitutional development of pakistan since 1947 to thereayf
Constitutional development of pakistan since 1947 to thereayfConstitutional development of pakistan since 1947 to thereayf
Constitutional development of pakistan since 1947 to thereayf
 
Essay writing
Essay writingEssay writing
Essay writing
 
Letter writing (Communication Skills)
Letter writing (Communication Skills)Letter writing (Communication Skills)
Letter writing (Communication Skills)
 
Architecture of high end processors
Architecture of high end processorsArchitecture of high end processors
Architecture of high end processors
 
Architecture of pentium family
Architecture of pentium familyArchitecture of pentium family
Architecture of pentium family
 
Bus interface 8086
Bus interface 8086Bus interface 8086
Bus interface 8086
 
Protected mode memory addressing 8086
Protected mode memory addressing 8086Protected mode memory addressing 8086
Protected mode memory addressing 8086
 
Internal microprocessor architecture
Internal microprocessor architectureInternal microprocessor architecture
Internal microprocessor architecture
 
Multiplication & division instructions microprocessor 8086
Multiplication & division instructions microprocessor 8086Multiplication & division instructions microprocessor 8086
Multiplication & division instructions microprocessor 8086
 
Wireless sensors network in Avionic control system
Wireless sensors network in Avionic control systemWireless sensors network in Avionic control system
Wireless sensors network in Avionic control system
 
An autonomous uav with an optical flow sensor
An autonomous uav with an optical flow sensorAn autonomous uav with an optical flow sensor
An autonomous uav with an optical flow sensor
 
Passive Thermal management for avionics in high temperature environment
Passive Thermal management for avionics in high temperature environmentPassive Thermal management for avionics in high temperature environment
Passive Thermal management for avionics in high temperature environment
 
Future Integrated Systems Concept for Preventing Aircraft Loss-of-Control (L...
Future Integrated Systems Concept for Preventing Aircraft Loss-of-Control (L...Future Integrated Systems Concept for Preventing Aircraft Loss-of-Control (L...
Future Integrated Systems Concept for Preventing Aircraft Loss-of-Control (L...
 
Hardware implementation of cots avionics system on unmanned
Hardware implementation of cots avionics system on unmannedHardware implementation of cots avionics system on unmanned
Hardware implementation of cots avionics system on unmanned
 
A wireless sensors network in Aircraft Control Systems
A wireless sensors network in Aircraft Control SystemsA wireless sensors network in Aircraft Control Systems
A wireless sensors network in Aircraft Control Systems
 

Probability And Random Variable Lecture(Lec8)

Notas del editor

  1. In Eq 10.3.12 the term –lembda will be squared