Imagine you are a wildlife biologist studying a certain species of bird. Your research focuses on a disease that affects these bird species. You discover that the disease has an occurrence probability of 0. 3. This disease can be detected through a specialized diagnostic test. The diagnostic test is highly accurate, correctly identifying the presence of the disease in 85% of birds that are actually infected. However, there is a small chance of false positives, where the test incorrectly reports a healthy bird as being infected. This false positive rate is 5 in 100 birds. Given this scenario, your task is to determine the probability that a bird is infected with the disease when the diagnostic test results come back positive.