Bayes Probablistic Model

Question

I understand how to do part a. But how would I go about solving the other parts? I have three different forms of Bayes Theorem and don't know what each part is asking for.

Answer 1

I understand how to do part a. But how would I go about solving the other parts? I have three different forms of Bayes Theorem and don't know what each part is asking for.

You are being asked to:

b. Find the marginal probabilities for the health status. $$\def\P{\mathsf P}\P(D=0), \P(D=1), \P(D=2)$$

c. Find the conditional probabilities for the symptomologies (evidence) given a health status. $$\P(S=0\mid D=0), \P(S=1\mid D=0),\\ \P(S=0\mid D=1), \P(S=1\mid D=1),\\ \P(S=0\mid D=2), \P(S=1\mid D=2).$$

d. Find the conditional probabilities for the health status when given a symptomology.

$$\P(D=0\mid S=0), \P(D=0\mid S=1),\\ \P(D=1\mid S=0), \P(D=1\mid S=1),\\ \P(D=2\mid S=0), \P(D=2\mid S=1).$$