According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $50,000 is 80%. Of the households surveyed, 60% had incomes over $50,000 and 70% had 2 cars.

a) What is the probability that the residents of a household own 2 cars and have an income over $50,000 a year? Show or explain how you obtain your answer.

b) What is the probability that the residents of a household do not own 2 cars and have an income over $50,000 a year? Show or explain how you obtain your answer.

c) What is the probability that the residents do not own 2 cars if annual household income is not over $50,000? Show or explain how you obtain your answer.