The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specificaly, the gun advertises one-mile-per-hour occuracy 88% of the time, that is, there is a 0.88 probability that the gun will detect a speedet, if the difiver is actually speeding. Assume there is a 286 chance that the gun erroneously detects a speeder even when the diver is below the speed limit. Suppose that 85% of the drivers ditive below the speed limit on this stretch of the Massochusetts Turnpike. a. What is the probability that the gun detects speeding and the driver was speeding? (Round your answer to 4 declmal places.) b. What is the probability that the gun detects speeding and the driver was not speeding? (Round your onswer to 4 decimal places.) c. Suppose the police stop a diver because the gun detects speeding. What is the probability that the driver was actually driving below the speed limit? (Pound your answer to 4 deelmal places.) Let P(A)=0.59.P(B)=0.24, and P(AB)=0.14. a. Calculate P(AB). (Round your answer to 2 decimal places.) b. Calculate P(A U B). (Round your answer to 2 decimal places.) c. Calculate P((AB)C). (Round your answer to 2 decimal places.)