Lie detectors refer to exercise 82. let y = the number of people who the lie detector says are telling the truth.

(a) find p(y ≥ 10). how is this related to p(x ≤ 2)? explain.

(b) calculate μx and σy. how do they compare with μx and σy? explain why this makes sense.

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters