Problem 2 The Bayesian network shown in the following represents a cancer domain in which two different cancer tests can be run and in which the tests are considered to be conditionally independent of one another Cancer P(Cancer) 0.01 Test1 Test2 C P(T1) C P(T2) T 0.9 T 0.9 F 0.2 F 0.2 Implement this network and use it to compute the following probabilities. a) P(Cancer positive results on both tests) b) P(Cancer a positive result on test 1 but a negative result on test 2) Do the results make sense? How much effect does one failed test have on the probability of having cancer? Be sure that you can explain your answer (i.e., by working them out by hand) Problem 2 The Bayesian network shown in the following represents a cancer domain in which two different cancer tests can be run and in which the tests are considered to be conditionally independent of one another Cancer P(Cancer) 0.01 Test1 Test2 C P(T1) C P(T2) T 0.9 T 0.9 F 0.2 F 0.2 Implement this network and use it to compute the following probabilities. a) P(Cancer positive results on both tests) b) P(Cancer a positive result on test 1 but a negative result on test 2) Do the results make sense? How much effect does one failed test have on the probability of having cancer? Be sure that you can explain your answer (i.e., by working them out by hand)