A test is developed to detect a certain type of arthritis in individuals over 50 years of age. A nationwide study reveals that approximately 10% of individuals in this age group suffer from this form of arthritis. When the proposed test was applied to individuals with a diagnosis confirmed arthritis, a positive result was obtained in 88.4% of cases, while at administer the test to people who did not have the disease, 5.5% gave positive results (this is the false positive rate). An individual is randomly selected from the population and administer the test. a. What is the probability that he has arthritis and the test is positive? b.What is the probability of getting a positive test result?