extra problems - github pages · extra problems example 1. side note: example 2. example 3 example...
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![Page 1: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/1.jpg)
Extra Problems
Example 1
![Page 2: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/2.jpg)
Side note:
![Page 3: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/3.jpg)
Example 2
![Page 4: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/4.jpg)
Example 3
Example 4
![Page 5: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/5.jpg)
Example 5 (from Dekking)
![Page 6: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/6.jpg)
Example 4
![Page 7: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/7.jpg)
Example 5 (from Dekking) For random variables X and Y shown in table below, E[XY] is computed as shown.
![Page 8: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/8.jpg)
Example 6 (from Dekking) Suppose X and Y have the the following joint
…. Compute this (ans: 187/2025)
![Page 9: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/9.jpg)
![Page 10: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/10.jpg)
MARKOV AND CHEBYSHEV Example 7
![Page 11: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/11.jpg)
Example 8
![Page 12: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/12.jpg)
Example 9 (10.2 from Dekking) Consider two random variables X and Y with the following joint distribution
A. Determine E[XY] B. Are X and Y independent? Why? C. Are X and Y correlated? Why? D. Determine Var(X + Y). E. Determine Var(X - Y).
Solution:
![Page 13: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/13.jpg)
Example 10 (10.3 from Dekking)
Solution:
![Page 14: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/14.jpg)
Example 11.
![Page 15: Extra Problems - GitHub Pages · Extra Problems Example 1. Side note: Example 2. Example 3 Example 4. Example 5 (from Dekking) Example 4 . ... (2a;2y + :ry2) dy dc 75 2a3 + a2b3 (2a](https://reader030.vdocuments.site/reader030/viewer/2022040409/5ec3c6b83d879729e3202bed/html5/thumbnails/15.jpg)
Example 12.