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A survey was conducted to measure the happiness of our graduating class. The following hypothetical questions were asked: 1) Due to COVID-19, do you manage to get-together in smaller gatherings or remotely [GETT: Yes/No]? 2) Do you think that you are managing your time efficiently [MANG: Yes/No]? 3) Do you consider yourself to be creative [CREA: Yes/No]?; 4) Did you do well in all your homework assignments? [HMWK: Yes/ No]; 5) Did you use the Nvidia support? [NVID: Yes/No]; 6) Was your ENGE 379 project a real success story? [PROJ: Yes/No]; 7) Did you succeed in your most important class (i.e. ENGE 379)? [SUCC: Yes/No]; 8) Are you currently Happy? [HAPP: Yes/No]. After consultation with a behavioural psychologist, the following complete set of conditional relationships were developed: a) HMWK is dependent on GETT and MANG; b) Nvidia depends only on MANG and CREA; c) Project depends only on MANG and CREA; d) Success depends only on HMWK and PROJ; e) Being happy depends only on GETT, NVID, and SUCC. A) Show the Bayesian network for the above conditional relationships. B) Expand the joint probability distribution. C) What is the number of independent parameters needed for each conditional probability? D) what is the total number of independent parameters?

A survey was conducted to measure the happiness of our graduating class. The following hypothetical questions were asked: 1) Due to COVID-19, do you manage to get-together in smaller gatherings or remotely [GETT: Yes/No]? 2) Do you think that you are managing your time efficiently [MANG: Yes/No]? 3) Do you consider yourself to be creative [CREA: Yes/No]?; 4) Did you do well in all your homework assignments? [HMWK: Yes/ No]; 5) Did you use the Nvidia support? [NVID: Yes/No]; 6) Was your ENGE 379 project a real success story? [PROJ: Yes/No]; 7) Did you succeed in your most important class (i.e. ENGE 379)? [SUCC: Yes/No]; 8) Are you currently Happy? [HAPP: Yes/No]. After consultation with a behavioural psychologist, the following complete set of conditional relationships were developed: a) HMWK is dependent on GETT and MANG; b) Nvidia depends only on MANG and CREA; c) Project depends only on MANG and CREA; d) Success depends only on HMWK and PROJ; e) Being happy depends only on GETT, NVID, and SUCC. A) Show the Bayesian network for the above conditional relationships. B) Expand the joint probability distribution. C) What is the number of independent parameters needed for each conditional probability? D) what is the total number of independent parameters?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A survey was conducted to measure the happiness of our graduating class. The following hypothetical questions were asked: 1) Due to COVID-19, do you manage to get-together in smaller gatherings or remotely [GETT: Yes/No]? 2) Do you think that you are managing your time efficiently [MANG: Yes/No]? 3) Do you consider yourself to be creative [CREA: Yes/No]?; 4) Did you do well in all your homework assignments? [HMWK: Yes/ No]; 5) Did you use the Nvidia support? [NVID: Yes/No]; 6) Was your ENGE 379 project a real success story? [PROJ: Yes/No]; 7) Did you succeed in your most important class (i.e. ENGE 379)? [SUCC: Yes/No]; 8) Are you currently Happy? [HAPP: Yes/No]. After consultation with a behavioural psychologist, the following complete set of conditional relationships were developed: a) HMWK is dependent on GETT and MANG; b) Nvidia depends only on MANG and CREA; c) Project depends only on MANG and CREA; d) Success depends only on HMWK and PROJ; e) Being happy depends only on GETT, NVID, and SUCC. A) Show the Bayesian network for the above conditional relationships. B) Expand the joint probability distribution. C) What is the number of independent parameters needed for each conditional probability? D) what is the total number of independent parameters?
Transcribed Image Text:A survey was conducted to measure the happiness of our graduating class. The following hypothetical questions were asked: 1) Due to COVID-19, do you manage to get-together in smaller gatherings or remotely [GETT: Yes/No]? 2) Do you think that you are managing your time efficiently [MANG: Yes/No]? 3) Do you consider yourself to be creative [CREA: Yes/No]?; 4) Did you do well in all your homework assignments? [HMWK: Yes/ No]; 5) Did you use the Nvidia support? [NVID: Yes/No]; 6) Was your ENGE 379 project a real success story? [PROJ: Yes/No]; 7) Did you succeed in your most important class (i.e. ENGE 379)? [SUCC: Yes/No]; 8) Are you currently Happy? [HAPP: Yes/No]. After consultation with a behavioural psychologist, the following complete set of conditional relationships were developed: a) HMWK is dependent on GETT and MANG; b) Nvidia depends only on MANG and CREA; c) Project depends only on MANG and CREA; d) Success depends only on HMWK and PROJ; e) Being happy depends only on GETT, NVID, and SUCC. A) Show the Bayesian network for the above conditional relationships. B) Expand the joint probability distribution. C) What is the number of independent parameters needed for each conditional probability? D) what is the total number of independent parameters?
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