According to a survey, 16% of US adults revealed that they are "cord cutters" who canceled their cable/satellite TV service and now only use a video streaming service. In a random sample of 500 adults, let p^ represent the proportion who are "cord cutters." Complete parts a through e below.

a. Find the mean of the sampling distribution of p^

E(p^) = [ ] (Round to three decimal places as needed.)

b) Find the standard deviation of the sampling distribution of p . c) What does the Central Limit Theorem say about the shape of the sampling distribution of p ?

d) Compute the probability that p is less than .12. e) Compute the probability that p is greater than .10.