The number of persons coming through a blood bank until the first person with type A blood is a random variable Y with a geometric distribution. If p denotes the probability that any one randomly selected person will possess type A blood, then E[Y ] = 1/p and V [Y ] = (1-p)/p2.
Find a function of Y that is an unbiased estimator of V [Y ].
Then suggest how to form a two-standard error bound on the error of estimation when Y is used to estimate 1/p.

You have just been hired as a financial analyst for barrington industries. unfortunately, company headquarters (where all of the firm's records are kept) has been destroyed by fire. so, your first job will be to recreate the firm's cash flow statement for the year just ended. the firm had $100,000 in the bank at the end of the prior year, and its working capital accounts except cash remained constant during the year. it earned $5 million in net income during the year but paid $800,000 in dividends to common shareholders. throughout the year, the firm purchased $5.5 million of machinery that was needed for a new project. you have just spoken to the firm's accountants and learned that annual depreciation expense for the year is $450,000; however, the purchase price for the machinery represents additions to property, plant, and equipment before depreciation. finally, you have determined that the only financing done by the firm was to issue long-term debt of $1 million at a 6% interest rate. what was the firm's end- of-year cash balance? recreate the firm's cash flow statement to arrive at your answer

Adrawback of short-term contracting as an alternative to making a component in-house is thata. it is the most-integrated alternative to performing an activity so the principal company has no control over the agent. b. the supplying firm has no incentive to make any transaction-specific investments to increase performance or quality. c. it fails to allow a long planning period that individual market transactions provide. d. the buying firm cannot demand lower prices due to the lack of a competitive bidding process.

Ahospital purchases a $500,000 magnetic resonance imaging (mri) machine that has a useful life of 9 years. the salvage value at the end of 9 years is $77,000. (a) write a linear equation that describes the value y (in dollars) of the mri machine in terms of the time t (in years), 0 ≤ t ≤ 9. (b) find the value, in dollars, of the machine after 6 years. $ (c) find the time, in years, when the value of the equipment will be $140,000. (round your answer to two decimal places.) yr