Of all the registered automobiles in a certain state, 10% violate the state emissions standard. Twelve automobiles are selected at random to undergo an emissions test. a) Find the probability that...

Of all the registered automobiles in a certain state, 10% violate the state emissions standard. Twelve automobiles are selected at random to undergo an emissions test. a) Find the probability that exactly three of them violate the standard. b) Find the probability that fewer than three of them violate the standard. c) Find the probability that none of them violate the standard.