1) (10) A highly infectious disease has stricken the world. The infection rate is reported to be 2 out of 100 people. To fight it, doctors have developed a fast-diagnostic test that performs as follows: If an infected individual takes the test, the result will be positive with 99% chance. If a non-infected individual takes the test, the result will be negative with 92% chance. a) Upon a randomly selected individual taking this diagnostic test, what is the probability that they will be tested positive? b) If a randomly selected individual is tested positive, what is the probability that they do not have the disease? c) If a randomly selected individual is tested negative, what is the probability that they have the disease? d) Do you think that this test is a good one for detecting and isolating people with this disease