I am having some difficulty arriving at the correct solution to this problem

I am not confident in my approach and answer when solving this problem and I would like to kindly compare and learn how to properly solve this problem.

In specifics, I am not certain which necessary variables to consider when computing

my calculations, I might be overlooking an error or might be overcomplicating for myself.

In-depth Steps with explanations are greatly appreciated, as it would help me with learning and finding my error!

Thank you very much for your expert help!

Please explain your work and, if necessary, show code. Problems are 10 points each. Problem 1: the medical test problem. Consider the medical test problem. Suppose the probability of the disease is p, with the probability of a false positive is 0.01 and the probability of a. false negative is 0.04. Given that the outcome of the test is positive, what is the probability that the test subject has the disease in terms of 19'? For what 33 is the disease probability higher than no disease probability (given a positive test)