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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).
Matt Christpher is a 25 year old mechanical engineering and his salary next year will be $60,000.Matt expects that his salary will increase at a steady rate of 5%per year until his retirement at age 65.
Analyze the current status on foreign exchange rate, producer price index including descriptions of current status and graphs with APA guidelines.
Construct a graph showing supply and demand in the electronic dog feeder market, using Microsoft Excel. How are the laws of supply and demand illustrated in this graph Explain your answers. What is the equilibrium price and quantity in this market As..
Suppose you are currently earning $15 an hour. If the inflation rate over the current year is 10 percent and your firm provides a cost-of-living raise based on the rate of inflation, what would you expect to earn after your raise? If the cost-of..
Calculate the points on the aggregate demand curve when the price level equals 0.75, 0.80, 1.00, 1.20, 1.25, and 1.50. Compute the price level and real GDP in periods 1-6. Describe the cyclical behavior of real ..
where L1 is the number of workers employed in Sector 1 and L2 is the number of workers employed in Sector 2. The total number of workers in the economy is 1,000. The only difference between the sectors is that in Sector 1 workers are paid their ma..
Industry structure is often measured by computing the Four Firm Concentration Ratio. Assume you have an industry with 20 companies and the CR IS 30 percent.
Use a Keynesian 45-degree diagram to show the effect of an increase in government spending and how could a reduction in tax rates increase government's tax receipts?
The Columbia Company manufactures a battery-powered saw. Due to increased demand during the past few years, Columbia has increased plant capacity for the saw to 300,000 units. The firm's expected output and sales for the next year in their normal..
Suppose that real GDP is $1,500 and potential GDP is $1,200, while the marginal propensity to consume is 0.8. If the government is going to engage in government spending and change taxes. If the government increases taxes by $20, how much will it ..
Ten bidders in an oral auction have the following values for an antique clock ($10, $9, $8, $7, $6, $5, $4, $3, $2, $1). If bidders of the $10 and $9 bids collude and bidders of the $3, $4, and $5 bids collude, what will the winning price be?
If the newer equipment is purchased, it will have end-of-year O&M costs of $8,000 and a salvage value of $20,000 at that time. If the old equipment is retained, it will have to be supplemented in years 3, 4, and 5 by leasing a hi-def add-on unit c..
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