Consider a rare genetic disorder that occurs with 5% probability. Individuals with the genetic disorder have a 60% probability to develop a particular medical condition whereas individuals without the disorder only have a 10% probability to develop the medical condition. What is the probably that a random individual from the entire population will develop the medical condition? a. - Suppose that for a random student, there is an 80% probability of passing the nal exam, a 90% chance of passing the course, and a 99% of passing the course given that the student passes the nal exam. Given that a student passed the course, what is the probability that the student did not pass the nal exam? '0. Suppose that 10% of the cars produced on an assembly line have some defect. The car manufacturer has a test for checking for defects and for cars with defects, it correctly nds the defect with 99% probability. However, for cars without detects, the test incorrectly reports a defect with 5% probability. What is the probability that a car has no defect given that the test reports that it has a defect? C, b