He space shuttle flight control system called PASS (Primary Avionics Software Set) uses four independent computers working in parallel. At each critical step, the computers "vote" to determine the appropriate step. The probability that a computer will ask for a roll to the left when a roll to the right is appropriate is 0.0003. Let X denote the number of computers that vote for a left roll when a right roll is appropriate. What is the probability mass function of X? Round all numbers to three decimal places (e. g. 98.765).

Answer the following questions using the data given below. annual percent return on mutual funds (n = 17) last year (x) this year (y) 11.9 15.4 19.5 26.7 11.2 18.2 14.1 16.7 14.2 13.2 5.2 16.4 20.7 21.1 11.3 12.0 –1.1 12.1 3.9 7.4 12.9 11.5 12.4 23.0 12.5 12.7 2.7 15.1 8.8 18.7 7.2 9.9 5.9 18.9

In order to minimize project risk which step comes after the step of identifying risks

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.