1. Your father goes to see his doctor to determine if he has a particular form of cancer. After doing some research, you know that the probability of having this particular form of cancer is 20%. You discover that the probability of positive test result, given that the person has cancer is 80%. You also discover that the probability of a positive test result, given that the person does not have cancer is 25%.
2. Your father’s test came back positive and he asks you to determine the likelihood he has cancer, given that he has a positive test result. Compute that conditional probability.
Show work.