It is asserted that 90 percent of cars approaching an individual toll both in New Jersey are equipped with an E-ZPass transponder. Find the probability that in a 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.)