I am not sure if it is me or the example:
A doctor gives a patient a drug dependent on their age and gender. The patient has a probability to recover depending on whether s/he receives the drug, how old s/he is and which gender the patient has. Additionally it is known that age and gender are conditional independent if nothing else is known from the patient.
i) Draw the Bayesian Network which describes the situation.
ii) How does the factorized probability distribution look like?
iii) Write down the formula to compute the probability that a patient recovers given that you know if s/he gets the drug. Write down the formula using only probabilities which are part of the factorized probability distribution.
I think I could handle task ii) and iii) if someone would show me how the network looks like.
What is not clear to me is the give fact that "A doctor gives a patient a drug dependent on their age and gender" and "patient has a probability to recover depending on whether s/he receives the drug, how old s/he is and which gender the patient has".
Could someone help me with that?