Road Trip! Parents with children list a GPS system (28%) and a DVD player (28%) as “...

Road Trip! Parents with children list a GPS system (28%) and a DVD player (28%) as “must have” accessories for a road trip.12 Suppose a sample of n = 1000 parents are randomly selected and asked what devices they would like to have for a family road trip. Let be the proportion of parents in the sample who choose either a GPS system or a DVD player.

a. If p = .28 + .28 = .56, what is the exact distribution of ?

b. What is the probability that exceeds .6?

c. What is the probability that lies between .5 and .6?

d. Would a sample percentage of = .7 contradict the reported value of .56?