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Q. 1. Suppose at Columbia University, grade point average (GPA) and SAT scores are related by the conditional expectation E(GPA|SAT) = .90 + .001 SAT.a. Find the expected GPA when SAT = 1600. b. Find E(GPA|SAT=2200)c. If the average SAT in the university is 2000, what is the average GPA?
2. Let u and X be two random variables that satisfy E [u|X] = 0 and E[u^2 |X]= o-^2. a. Find the unconditional mean and variance of u.b. What is the covariance between u and X?
Statistical analysis indicates that a=0.8 and b=0.3. The firm's owner claims the plant has increasing returns to scale.
Results of drilling are 15 dry holes, 12 gas producers, 18 oil wells, and 20 wells producing both oil and gas.
Find the level of output with the help of calculus, Qrmax, where total revenue reaches its maximum value.
At what level of output will this firm maximize profit. Elucidate what is the level of profit for every unit of output produced at equilibrium.
If Frank's salary as a sales manager was $70,000 instead of $100,000 would your answer be different.
Assume the current market price of candles is such that there is a surplus.
If instead the Fed wants to stabilize aggregate demand, how should it change the money supply..
What can be accomplished about the impact of transportation costs on the price of the traded product in each trading nation.
You are using a sample size of 15 for your charting purposes. Which of the following is the upper control limit D4 factor for the chart.
If the marginal cost of planting and harvesting an acre is $7000 per acre for each of the five acres, how many acres should the farmer plant and harvest.
A machine used to cereal boxes dispenses, on the average, ounces per box. What is the largest value.
Recent survey of high school students, it was found that the average amount of money spent on entertainment each week. Values are representative of all high school students.
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