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. The probability that the residents of a household own 2 cars and have an income over $50,000 a year is:

Suppose the price of frozen yogurt, a substitute for ice cream, increases. what happens to equilibrium price and quantity of ice cream? a. the price and quantity of ice cream both increase b. the price and quantity of ice cream both decrease c. the price of ice cream increases and the quantity decreases d. the price of ice cream decreases and the quantity increases

Explain whether each of the following events increases, decreases, or has no effect on the unemployment rate and the labor-force participation rate. a. after a long search, jon finds a job. b. tyrion, a full-time college student, graduates and is immediately employed. c. after an unsuccessful job search, arya gives up looking and retires. d. daenerys quits her job to become a stay-at-home mom. e. sansa has a birthday, becomes an adult, but has no interest in working. f. jaime has a birthday, becomes an adult, and starts looking for a job. g. cersei dies while enjoying retirement. h. jorah dies working long hours at the office.

Andy purchases only two goods, apples (a) and kumquats (k). he has an income of $125 and can buy apples at $5 per pound and kumquats at $5 per pound. his utility function is u(a, k) = 6a + 2k. what is his marginal utility for apples and his marginal utility for kumquats? andy's marginal utility for apples (mu subscript a) is mu subscript aequals 6 and his marginal utility for kumquats (mu subscript k) is