o = VE[ x2 * P(x)] - u2 or simply o = V[5 - M2] 7) Binomial Distribution: 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. Determine the probability that exactly 12 flush public restrooms with their foot. b. Determine the probability of finding at least 16 of the 20 survey, flush public restrooms with their foot. c. Find the probability that between 9 to 11, inclusive, flush public restrooms with their foot. d. Would it be unusual to find more than 17 who flush public restrooms with their foot? Note: we will consider unusual cases to be less 5% = 0.05