In the Healthy Handwashing Survey conducted by Bradley Corporation, it was found that 64% of adult Americans operate the flusher of toilets in public restrooms with their foot. Suppose a random sample of n = 20 adult Americans is obtained and the number x who flush public toilets with their foot is recorded.

(a) Explain why this is a binomial experiment.

(b) Find and interpret the probability that exactly 12 flush public toilets with their foot.

(c) Find and interpret the probability that at least 16 flush public toilets with their foot.

(d) Find and interpret the probability that between 9 and 11, inclusive, flush public toilets with their foot.

(e) Would it be unusual to find more than 17 who flush public toilets with their foot? Why?