In a recent survey, 72% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that (A) exactly 10, (B) between 8 and 12, (C) at least 8, (D) at most 7 of them favor the building of the health center. (E) Compute the mean, variance, and standard deviation for the variable "favored building a health center."