A large company has an inspection system for the batches of small compressors purchased from vendors. A batch typically contains 15 compressors. In the inspection system, a random sample of 5 is selected and all are tested. Suppose there are 2 faulty compressors in the batch of 15.
(a) What is the probability that for a given sample there will be 1 faulty compressor?
(b) What is the probability that inspection will discover both faulty compressors?

Mr. smith recently faced a choice between being (a) an economics profes-sor, which pays $60,000/yr, or (b) a safari leader, which pays $50,000/yr. after careful deliberation, smith took the safari job, but it was a close call. "for a dollar more," he said, "i'd have gone the other way."now smith's brother-in-law approaches him with a business proposition. the terms are as follows: - smith must resign his safari job to work full-time in his brother-in-law's business.- smith must give his brother-in-law an interest-free loan of $100,000, which will be repaid in full if and when smith leaves the business. (smith currently has much more than $100,000 in the the business will pay smith a salary of $70,000/yr. he will receive no other payment from the business.the interest rate is 10 percent per year. apart from salary considerations, smith feels that working in the business would be just as enjoyable as being an economics professor. for simplicity, assume there is no uncertainty regarding either smith's salary in the proposed business or the security of his monetary investment in it. should smith join his brother-in-law and, if so, how small would smith's salary from the business have to be to make it not worthwhile for him to join? if not, how large would smith's salary from the business have to be to make it worthwhile for him to join?

9. tax types: taxes are classified based on whether they are applied directly to income, called direct taxes, or to some other measurable performance characteristic of the firm, called indirect taxes. identify each of the following as a “direct tax,” an “indirect tax,” or something else: a. corporate income tax paid by a japanese subsidiary on its operating income b. royalties paid to saudi arabia for oil extracted and shipped to world markets c. interest received by a u.s. parent on bank deposits held in london d. interest received by a u.s. parent on a loan to a subsidiary in mexico e. principal repayment received by u.s. parent from belgium on a loan to a wholly owned subsidiary in belgium f. excise tax paid on cigarettes manufactured and sold within the united states g. property taxes paid on the corporate headquarters building in seattle h. a direct contribution to the international committee of the red cross for refugee relief i. deferred income tax, shown as a deduction on the u.s. parent’s consolidated income tax j. withholding taxes withheld by germany on dividends paid to a united kingdom parent corporation

In june 2009, at the trough of the great recession, the bureau of labor statistics announced that of all adult americans, 140,196,000 were employed, 14,729,000 were unemployed and 80,729,000 were not in the labor force. use this information to calculate: a. the adult population b. the labor force c. the labor-force participation rate d. the unemployment rate