A company covers a basic life insurance policy to its employees, as well as a supplemental life insurance policy. To purchase the supplemental policy, an employee must first purchase the basic policy. Let X denote the proportion of employees who purchase the basic policy, and Y the proportion of employees who purchase the supplemental policy. Let X and Y have the joint density function f(x, y) = 2(x+y)
Given that 10% of the employees buy the basic policy, what is the probability that fewer than 5% buy the supplemental policy?

Assume today is december 31, 2013. barrington industries expects that its 2014 after-tax operating income [ebit(1 – t)] will be $400 million and its 2014 depreciation expense will be $70 million. barrington's 2014 gross capital expenditures are expected to be $120 million and the change in its net operating working capital for 2014 will be $25 million. the firm's free cash flow is expected to grow at a constant rate of 4.5% annually. assume that its free cash flow occurs at the end of each year. the firm's weighted average cost of capital is 8.6%; the market value of the company's debt is $2.15 billion; and the company has 180 million shares of common stock outstanding. the firm has no preferred stock on its balance sheet and has no plans to use it for future capital budgeting projects. using the corporate valuation model, what should be the company's stock price today (december 31, 2013)? round your answer to the nearest cent. do not round intermediate calculations.

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In order to gauge public opinion about how to handle iran's growing nuclear program, a research group surveyed 1010 americans by telephone and asked them to rate the threat iran's nuclear program poses to the world on a scale of 1 to 10. describe the population, sample, population parameters, and sample statistics. identify the population in the given problem. choose the correct answer below.