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Let X denote the number of rainy days on the coming weekend. Suppose that there is a 20% chance of rain on Saturday and 50% chance of rain on Sunday. Assume that rain on Saturday and rain on Sunday are independent events, so that Prob(rain on Saturday AND rain on Sunday) = Prob(rain on Saturday)Prob(rain on Sunday), Prob(no rain on Saturday AND rain on Sunday) = Prob(no rain on Saturday)Prob(rain on Sunday), and so on.
a. Explain why X is a random variable.b. Write the PDF of X.c. Let F(x) denote the CDF of X evaluated at X = x. Find F(1).d. Find E(X).e. Find Var(X).
I want to deposit $10,000 now and $15,000 at the end of five years in a bank that pays 15% interest compounded semiannually. I want to withdraw an amount every year for the first five years and to withdraw $500 more for the following four years.
Choose two firms from different industrial sectors, e.g. high tech computers, health, customer non durables, cyclical etc.
Suppose the government imposes the following kind of sales tax: there is no tax for selling the first 35 units, but for selling every uinit beyond the thirty-fifth unit, the seller has to pay the government an additional $12. What is the new optim..
A cupola for a foundry was purchased for $3000.$500 more was spent on its erection and commisioning.The estimated residual value after 10 yeras was $700. A)calculate annual rate of depriciation. B)Determine the amount of depriciation at the end of ..
A firm operating a chain of drug stores consider to open a new store in one of locations. The management of firm figures that at the 1st location the store will show an yearly profit of $20,000 if it is successful and an yearly loss of $2,000 if it i..
What is the income elasticity of demand for kitty litter when P(D)=30,P(C)=20, m=50? What is the cross-price elasticity of demand for kitty litter when P(D)=30,P(C)=20, m=50? Are kitty litter and cat food substitutes or complements?
You are the manager of a monopoly. A typical customer's inverse demand function for your firm's product is p=250-4Q and your cost function is C(Q)=10Q. Determine the optimal two part pricing strategy. Per Unit fee Fixed FeeHow much addtional profit..
In Milky Way Galaxy, a class of 2,000 students took a course in Astronomy. The 1st exam scores and final exam percentage reached earth, but transmission broke off after only a dozen students' scores were received.
Based on the information for the U.S. for the period 1970 to 1983, the following regression results were obtained, GNPt = -787.4723 + 8.0863M1t r2 = 0.9912
The demand curve for the firm's output in the second market is P2 = 80 - 2Q2, where P2 is the price of the product and Q2 is the amount sold in the second market. The firm's marginal cost curve is 5 + Q, where Q is the firm's entire output (destin..
With the assumption that A=1, and the share of labor in the national income is 1/2. Also K=120 million dollars and L= 10 million units and saving rate = 35% and the depreciation rate is 10%. How many periods it will take this economy to reach the ..
The MacBurger Company a chain of fast food restaurants, expects to earn $200 million after taxes for the current year. The company has a policy of paying out half of its net after-tax income to the holders of the company's 100 million shares of c..
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