Solve each of the following problems with COMPLETE REPRESENTATION and solutions. Provide clean and clear solutions thank you and Godbless.

13. A company gathers the following data for 500 men, of which 8 are known to have prostate cancer. All 500 men undergo the same test to determine whether or not they have prostate cancer, and 65 test positive. Seven of the 8 that have prostate cancer are tested positive and 58 of those that do not have prostate cancer test positive. Organize the data by completing the table below: Men with Test Positive Prostate Cancer Test Negative Men without Test Positive Prostate Cancer Test Negative Find the probability that a randomly selected man from this group: (a) is tested positive (b) has prostate cancer, given that he is tested positive