At any given time, avuncular gangrene affects about 0.11 of Dorchestershire. If a person has avuncular gangrene, the test will return a positive result 0.35 of the time. If they don't, it will return a negative result 0.89 of the time.

Here, you must enter probabilities (not %). Accuracy must be 4 decimal places at least.

(a) A random individual from Dorchestershire testing positive has what probability of actually having avuncular gangrene?

(b) A random individual from Dorchestershire testing negative, has what probability of actually having avuncular gangrene?

(c) True or False? In this testing scenario, the majority of positives are false positives.