(13.36) Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns in 2011: Income <15 15−29 30−74 75−199 ⩾200 Probability 0.264 0.218 0.298 0.186 0.034 (a) What is the probability that a randomly chosen return shows an adjusted gross income of $30,000 or more? P(income ⩾ $ 30,000) (±0.001) = (b) Given that a return shows an income of at least $30,000, what is the conditional probability that the income is at least $75,000? P(income ⩾ $ 75,000 | income ⩾ $ 30,000) (±0.001) =

Alex is a working professional and has managed to save a small amount of money from his earnings. he wants to invest in something that is customized to his risk appetite. which financial institution should he choose? a. hedge funds b. mutual funds c. life insurance companies d. credit unions e. pension funds

Which of the following mechanisms would be most likely to motivate managers to act in the best interests of shareholders? a) decrease the use of restrictive covenants in bond agreements, b) take actions that reduce the possibility of a hostile takeover, c) elect a board of directors that allows managers greater freedom of action, d) increase the proportion of executive compensation that comes from stock options and reduce the proportion that is paid as cash salaries, e) eliminate a requirement that members of the board directors have a substantial investment in the firm's stocks

Which of the following is an effective strategy when interest rates are falling? a. use long-term loans to take advantage of current low rates. b. use short-term loans to take advantage of lower rates when you refinance a loan. c. deposit to a short-term savings instrumentals to take advantage of higher interest rates when they mature. d.select short-term savings instruments to lock in earnings at a current high rates.