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Let X be a discrete random variable that is the value shown on a single roll of a fair die.
(a) Represent the probability density function f(x) in a tabular form(b) What is the probability that X=4? That X=4 of X=5?(c) What is the expected value of X? Explain the meaning of E(X) in this case(d) Find the expected value of X^2(e) Find the variance of X(f) Obtain a die. Roll it 20 times and record the values obtained. What is the average of the first 5 values? The first 10? What is the average of the 20 rolls?
Given the production function Y=AK^0.3L^0.7 if output grows by five percent, the capital input grows by five percent, and the labor input grows by two percent, calculate the Solow residual. Calculate the growth rates of output per worker and capit..
Suppose 1 year Treasury-bills were currently yielding 5.5%. Also suppose that a bank estimated that a particular loan applicant had a 30% chance of defaulting on a one year loan and that in the event of default the bank would recover only 25% of i..
Design a simple econometric research project
Suppose cell phones are available in two basic types: Flashy or Dull. Furthermore, suppose cell phone owners fall into two basic categories: Hipsters or Grannies. Let .55 be the probability of being a Hipster. Also, 40% of cell phones are both Flas..
Suppose that the country of Bigu has a population of 127 million, of which 83 million are in the working-age population. Of those , 25 million are not in the labor force and 52 million are employed. A) Calculate the working age population as a per..
The following are the inverse demand curve and MR curves for a monopolistically competitive firm. P = 1000 - 2Q MR = 1000 - 4Q Where P is the price of the product and Q is the level of production. For the 200th unit of Q, MR is equal to.
A demand curve is given by QD = 600 20P. Draw the demand curve. You don't have to draw to scale. Clearly show what happens on this demand curve when the price rises from $6 to $8. Label all appropriate points, as well as numerical values for pric..
Answer the following questions using the above data. Compute autonomous aggregate demand and compute the short-run output.
The proposed small offfice building in has 24,000 net square feet of area heated by a naturalgas furnace. The owner of the building wants to knowthe approximate cost of heating the structure fromOctober through March (six months).
Consider a person with an initial wealth level of 100 who faces a change to win 20 with probability 1/2 and to lose 20 with probability 1/2. A. What is the expected value of the gamble Is this gamble fair or better than fair
The output of workers at a factory depends on the number of supervisors hired (see below). The factory sells its output for $0.50 each; it hires 50 production workers at a wage of $100 per day, and needs to decide how many supervisors to hire.
Mac Rowe doesn't sweat the petty stuff. In fact, he just cannot detect small differences. He consumes two goods, x and y. He prefers the bundle (x,y) to the bundle (x',y') if and only if (xy - x'y' > 1) . Otherwise he is indifferent between the tw..
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