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3. Suppose a patient may have a symptom (S) that can be caused by two different diseases (A and B). It is known that the variation of the G gene plays a major role in the emergence of disease A. Bayes Net and the corresponding conditional probability tables are shown below. For each section, you can leave your answer as an arithmetic expression. : G +g +9 +9 0 P(G) 3 0.1 0.9 P(AG) ta 1.0 0.0 0.1 0.9 A S B Compute the following entry from the joint distribution (7 (7 P(B) +b -b P(SA, B) +6 -b -7 +6 0.6 +b b b +8 -N 1.0 0.0 0.9 0.1 0.8 S 0.9
b. What is the probability that a patient has disease A? P(+a)=
b. What is the probability that a patient has disease A? P(+a)=