Transcript
![Page 1: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/1.jpg)
EE3713
APPLIEDPROBABILITYANDSTATISTICSFORELECTRICAL
ENGINEERSChapter3
![Page 2: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/2.jpg)
E[Y]
Suppose random variable Y has PMF, what is E[Y]:
Calculation of E[Y]
6
![Page 3: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/3.jpg)
![Page 4: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/4.jpg)
![Page 5: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/5.jpg)
(d)
![Page 6: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/6.jpg)
![Page 7: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/7.jpg)
![Page 8: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/8.jpg)
![Page 9: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/9.jpg)
![Page 10: APPLIED PROBABILITY AND STATISTICS FOR …ace.cs.ohiou.edu/~chelberg/classes/3713/ch03-4.pdf · APPLIED PROBABILITY AND STATISTICS FOR ELECTRICAL ENGINEERS Chapter 3 E[Y] ... Otherwise,](https://reader031.vdocuments.net/reader031/viewer/2022030409/5a90570e7f8b9a78648e0da3/html5/thumbnails/10.jpg)
Difference between your score and the mean
Suppose you score a 73 on an assignment where the mean is 80. How do you think of your score? Do you think I am 7 points below the mean? What is the expected value of the new derived random variable that is your score minus the mean?