A tine test is commonly used to determine whether a person has been exposed to tuberculosis. Approximately 4% of people in the United States have been exposed to tuberculosis. When the tine test is administered, 98% of all people who have been exposed test positive and 95% of those not exposed test negative. Suppose a person is randomly selected and given the tine test. Suppose the test is positive; what is the probability that the person actually has been exposed? After a minor collision, a driver must take his car to one of two body shops in the area. Consider the following events. D = driver takes his car to shop D L = driver takes his car to shop L T = the work is complete on time B = the cost is less than or equal to the estimate (under budget) The modied tree diagram provides a visualization of the relationships among these events. Complete the tree diagram by lling in the missing path probabilities. 0.674 0.105 0.774 0.545 0.622 0.156 \"@ The modied tree diagram provides a visualization of the relationships among these events. Complete the tree diagram by lling in the missing path probabilities. \"@ After a minor collision, a driver must take his car to one of two body shops in the area. Consider the following events. D = driver takes his car to shop D L = driver takes his car to shop L T = the work is complete on time B = the cost is less than or equal to the estimate (under budget) What is the probability that the car is repaired under budget, on time, and with company D? (Use decimal notation. Give your answer to four decimal places.) After a minor collision, a driver must take his car to one of two body shops in the area. Consider the following events. D = driver takes his car to shop D L = driver takes his car to shop L T = the work is complete on time B = the cost is less than or equal to the estimate (under budget) What is the probability that the cost of the repair exceeds the estimate? (Use decimal notation. Give your answer to four decimal places.)