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Consider a standard six sided die, numbered 1 through 6 on each face. The probability of rolling each number is 1/6.
a.) Let X equal the sum of the values from two independent rolls, then E[X] is?
b.) What is the variance of one throw of the die?
c.) Using the result from question B, what is the variance of X, as defined in question A?
d.) Suppose that Y is a continuous, uniformly distributed variable over the interval [-1,1]. Then P(Y=0) equals?
Assume that two rms (A and B) produce identical products in a market. The (inverse) market demand curve is P = 240 -Q where Q is total output from both firms Q = qA + qB. Firm A has a total cost function TCA = 100qA and firm B has total cost funct..
A firm has a production function Q=F(K,L) with the constant return to scale, where k is units of capital and L is unites of labour.Imput prices are r=$2 per unit of K and w=$1 per unit of L.When it produces 5 units of output,it uses 2 units of cap..
Two different alternatives shown in the table below are being considered by Kal Tech Engineering systems. Assume that alternatives X and Y are replaced at the end of their lives.Data Alternative X Alternative Y Initial Cost $6,000 $1,500Uniform Ann..
suppose a single firm produces all of the output in a contestable market. The market inverse demand function is P=100 -Q, and the firm cost's function is C(Q) = 2Q. Determine the firm's equilbrium price and corresponding profits.
Suppose you are an analyst for the Coca-Cola company. An individual's inverse demand for Coca-Cola is estimated to be P = 98 - 4Q (in cents). If Coca-Cola is produced according to the following cost function TC = 1,000 + 2Q (in cents).
(a) Calculate the equilibrium quantity and price for peaches. (b) Calculate the point price elasticity of demand and point income elasticity for peaches at the equilibrium. Also calculate the point cross price elasticity between peaches and aprico..
Suppose that the production function of an economy follows the formula Y = F(K, bN) where b denotes the number of units of "human capital" per worker and bN the "effectiveunits" of labor. Due to effective educational policy, the stock of human cap..
Your company has purchased a large new truck tractor for over-the-road use (asset class 00.26). It has a cost basis of $180,000. With additional options costing $15,000, the cost basis for depreciation purposes is $195,000. Its MV at the end of fi..
A retailer has offered you two options to purchase kitchen and laundry appliances: A. $3598.88 cash today; or B. a down payment of $912.50 plus three additional identical payments 80 days, 160 days, and 320 days from today.
Assume in perfect competition, the function of marginal cost is: MC=3+3Q, and price P = 15. What is the optimal quantity to maximize the firm's profit
Fit a multiple regression model of y on x1 and x2. Fit two simple linear regressions: (I) y on x1; (II) y on x2. Compare the results of multiple regression analysis with each of simple linear regressions.
a book store opens across the street from university book store (USB). The new store carries the same textbooks but offers them 20% lower than USB. if the cross-elasticity is estimated to be 1.5, and USB does not respond to it's competition.
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