According to the record of the registrar's office at a state university, 35% of the students are freshman, 25% are sophomore, 16% are junior and the rest are senior. Among the freshmen, sophomores, juniors and seniors, the portion of students who live in the dormitory are, respectively, 80%, 60%, 30% and 20% If a randomly selected student lives in the dormitory, what is the probability that the student is a freshman (tip: Bayes theorem)? a. 0.331 b 0.439 c. 0.638 : d. 0.532

Suppose that: 1. malaysia requires 1 hour of labor to produce 1 pound of rice and 2 hours of labor to produce 1 pencil; 2. indonesia requires 2 hours of labor to produce 1 pound of rice and 4 hours of labor to produce 1 pencil; 3. each country has 10,000 hours of labor to allocate between the production of rice and pencils; and 4. in autarky, malaysia consumes 5,000 pounds of rice and 2,500 pencils. which country has an absolute advantage in rice production? in pencil production? which country has a comparative advantage in rice production? in pencil production? will trade between the two countries be mutually beneficial?

Suppose the marginal damage and marginal benefit curves in a polluted neighborhood are md = p/3 and mb = 4 – p. also, suppose that transactions costs are low, so that the consumers and the firm can bargain. we saw that in this case, the socially-optimal level of pollution is achieved. start by computing the socially-optimal p. then, for each of the following cases, compute the amount of money transferred through the bargaining process, and indicate who pays whom (i. e., whether consumers pay the firm, or vice versa). also, compute the gains to each party relative to the status quo (i. e., the starting point of the bargaining process).a)consumers have the right to clean air; firm is dominant in the bargaining process. b)consumers have the right to clean air; consumers are dominant in the bargaining process. c)firm has the right to pollute; firm is dominant in the bargaining process. d)firm has the right to pollute; consumers are dominant in the bargaining proces

Why do police officers get paid less than professional baseball players?