Parents with children list a GPS system (28%) and a DVD player (28%) as must have accessories

Question:

Parents with children list a GPS system (28%) and a DVD player (28%) as "must have" accessories for a road trip. 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 ^p 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 ? How can you approximate the 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?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...