As part of a comprehensive study of the role of 10-601 on people's happiness we have been collecting important data from graduating students. In an entirely optional survey that all students are required to complete, we ask the following highly objective questions: • Do you party frequently [Party: Yes/No)? • Are you wicked smart (Smart: Yes/No]? • Are you creative Creative: Yes/No]? (Please only answer Yes or No) • Did you do well on all your homework assignments? [HW: Yes/No] • Do you use a Mac? [Mac: Yes/No] The random variables of the study are in the order Party, Smart, Creative, HW, Mac, Project, Success, and Happy. The entries are either zero, corresponding to No response, or one, corresponding to a Yes response. After consulting a behavioral psychologist we obtained the following complete set of conditional relationships: • HW depends only on Party and Smart • Mac depends only on Smart and Creative • Project depends only on Smart and Creative . Success depends only on HW and Project • Happy depends only on Party, Mac, and Success P (creative = T) = 0.69932 P (smart =T) = 0.70472 creative smart P(project = T creative, smart) T T 0.90484 P(party = T) = 0.60216 T F 0.40307 T 0.79326 F F 0.10731 creative smart P (mac = T | creative, smart) smart party P(hw = T | smart, party) T T 0.68564 T T 0.80252 T 0.89635 T F 0.89790 F T 0.41347 T 0,09447 F F 0.12329 F F 0.30556 project hw P (success = T project, how) T T 0.89633 T F 0.20737 T 0.30714 F F 0.05066 success mac party P(happy = Tsuccess, mac, party) T T T 0.95842 T T F 0.35837 T F T 0.72082 T F F 0.30769 F T T 0.49234 F T F 0.20619 F F T 0.42043 F F F 0.09646 You are given the above distribution tables. We will be using the Online Tool (Link posted on Canvas) to build our Bayesian Network. Find out the probability by querying the random variables based on the conditions and observations in the below sub-questions:. a. What is the probability of being happy? b. What is the probability of being happy given that you party often, are wicked smart, but not very creative? c. What is the probability of being happy given that you are wicked smart and very creative? d. What is the probability of being happy given you do not party, and do well on all your homework and class project? e. What is the probability of being happy given you own a mac? f. What is the probability that you party often given you are wicked smart? g. What is the probability that you party often given you are wicked smart and happy?