Compute the following probabilities: a. If Y is distributed N (-8,9), Pr (Y≤-12) = —— . (Round your response to four decimal places.)
b. If Y is distributed N (-4,9), Pr (Y>-1) = ——. (Round your response to four decimal places.)
c. If Y is distributed N (40,25), Pr (34≤Y≤44) = ——. (Round your response to four decimal places.)

Uestion 7 you hold a portfolio consisting of a $5,000 investment in each of 20 different stocks. the portfolio beta is equal to 1.12. you have decided to sell a coal mining stock (b = 1.00) at $5,000 net and use the proceeds to buy a like amount of a mineral rights company stock (b = 2.00). what is the new beta of the portfolio?

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

Almost 80% of business owners are clueless about the competition, resulting in a) lost market share and customers. b) needless lawsuits. c) uninspired products. d) lack of perseverance