Paying for music downloads. According to a recent Pew Internet & American Life Project Survey (Oct. 2010), 67%

of adults who use the Internet have paid to download music. In a random sample of n = 1,000 adults who use the Internet, let pn represent the proportion who have paid to download music.

a. Find the mean of the sampling distribution of pn.

b. Find the standard deviation of the sampling distribution of pn.

c. What does the Central Limit Theorem say about the shape of the sampling distribution of pn?

d. Compute the probability that pn is less than .75.

e. Compute the probability that pn is greater than .50.