According to a recent Pew Research Center Survey (December 2015), 15% of U.S. adults admitted they are

Question:

According to a recent Pew Research Center Survey (December 2015), 15% of U.S. adults admitted they are "cord cutters," i.e., they canceled the cable/satellite TV service they once subscribed to. In a random sample of 500 U.S. adults, let p̂ represent the proportion who are "cord cutters."

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

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

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

d. Compute the probability that p̂ is less than .12.

e. Compute the probability that p̂ is greater than .10.

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...