(d) If Χ Ν∼ (50,12) and a random sample of size 12 is taken from the distribution, find the probability that the sample mean i. Is less than 48.5

Suppose an economy has only two sectors: goods and services. each year, goods sells 80% of its outputs to services and keeps the rest, while services sells 62% of its output to goods and retains the rest. find equilibrium prices for the annual outputs of the goods and services sectors that make each sector's income match its expenditures.

Consider derek's budget information: materials to be used totals $64,750; direct labor totals $198,400; factory overhead totals $394,800; work in process inventory january 1, $189,100; and work in progress inventory on december 31, $197,600. what is the budgeted cost of goods manufactured for the year? a. $1,044,650 b. $649,450 c. $657,950 d. $197,600

Consider a treasury bill with a rate of return of 5% and the following risky securities: security a: e(r) = .15; variance = .0400 security b: e(r) = .10; variance = .0225 security c: e(r) = .12; variance = .1000 security d: e(r) = .13; variance = .0625 the investor must develop a complete portfolio by combining the risk-free asset with one of the securities mentioned above. the security the investor should choose as part of her complete portfolio to achieve the best cal would be a. security a b. security b c. security c d. security d