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 98% of the time; that is, there is a 0.98 probability that the gun will detect a speeder, if the driver is actually speeding. assume there is a 1% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. suppose that 95% of the drivers drive below the speed limit on this stretch of the massachusetts turnpike.
a. what is the probability that the gun detects speeding and the driver was speeding?
b. what is the probability that the gun detects speeding and the driver was not speeding?
c. suppose the police stop a driver because the gun detects speeding.
what is the probability that the driver was actually driving below the speed limit?

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel