Eighty-two percent of U.S. adults think that healthy children should be required to be vaccinated to attend school. You randomly select 10 U.S. adults. Find the probability that the number of U. S. adults who think that healthy children should be required to be vaccinated to attend school is 

(a) Exactly eight, 

(b) More than six, and 

(c) At most six.

Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities.