Problem 3 The Bayesian network shown in the following represents a happiness domain in which either the sun or a raise in pay can increase the happiness of an agent Sunny Raise P(Sunny) P(Raise) 0.01 0.7 SR PH) T T 1.0 T F 0.7 FT10.9 F F 0.1 Happy a) Implement this network and use it to compute the following probabilities. - P(Raise I Sunny) -P(Raise | Happy Sunny) Be sure that you can explain these answers by hand b) Use your implementation to compute the following probabilities. - P(Raise | Happy) - P(Raise | Happy A-Sunny) Do these results make sense to you? Why or why not? Problem 3 The Bayesian network shown in the following represents a happiness domain in which either the sun or a raise in pay can increase the happiness of an agent Sunny Raise P(Sunny) P(Raise) 0.01 0.7 SR PH) T T 1.0 T F 0.7 FT10.9 F F 0.1 Happy a) Implement this network and use it to compute the following probabilities. - P(Raise I Sunny) -P(Raise | Happy Sunny) Be sure that you can explain these answers by hand b) Use your implementation to compute the following probabilities. - P(Raise | Happy) - P(Raise | Happy A-Sunny) Do these results make sense to you? Why or why not