It is asserted that 80 percent of the cars approaching individual toll both in New Jersey are equipped with an E-Z Pass transponder. Determine the probability that in sample of six cars:
(a) All six will have the transponder. (Round your answer to 4 decimal places.)
(b) At least three will have the transponder. (Round your answer to 4 decimal places.)
(c) None will have a transponder. (Round your answer to 6 decimal places.)