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. Specifically, the gun advertises one-mile-per-hour accuracy 82% of the time; that is, there is a 0.82 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 2% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. Suppose that 79% of the drivers drive below the speed limit on this stretch of the Massachusetts Turnpike.

What is the probability that the gun detects speeding and the driver was speeding?

Note: Round your answer to 4 decimal places.

What is the probability that the gun detects speeding and the driver was not speeding?

Note: Round your answer to 4 decimal places.