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Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (F) at which a certain reaction starts to take place. Suppose that the two random variables X and Y have a joint density function
f(x,y)= y, 0 <= x <= 2 and 0 <=y<=1
0, otherwise
Find:
a) P(X^2 + Y^2 <=1)
b) P(X<= squt(Y))
A firm hires labor in a perfectly competitive labor market. Its current profit-maximizing hourly output is 100 units, which the firm sells at a price of $5 per unit. The marginal physical product of the last unit of labor employed is 5 units per h..
now suppose the firm is able to charge an entry fee, as well as a price for every unit sold. What is the optimal entry fee, the price per unit, and the deadwight loss. Calculate them and show these on the graph below.
If your nominal income rose by 5.3 percent and the price level rose by 3.8 percent in some year, by what percentage would your real income (approximately) increase If your nominal income rose by 2.8 percent and your real income rose by 1.1 percent..
Suppose 90-day investments in Britain have a 6% annualized return and a 1.5% quarterly (90-day) return. In the U.S., 90-day investments of similar risk have a 4% annualized return and a 1% quarterly (90-day) return. In the 90-day forward market.
consider a representative consumer with preferences over consumption and leisure given by U(C,L)=C^2/3 L^1/3 assume that she has a total of h=18 hours a day which she can use for leisure or trade in the market for a wage rate w.
If the firm only needs the machine for 5 years. Assuming a salvage value will be $8,000 for Machine A, $15,000 for Machine B at the end of 5th year, which alternative should be selected when using present equivalent cost comparison
The following data descibes market conditions: Money Supply (in billion) 100 200 300 400 500 600 700 Interest Rate: 8 7.5 7 6.5 6 5.5 5 Rate if investment (billions)$12 $12 $15 $16 $17 $17 $17 (a) At what rate of interest does the liguidity trap emer..
Assume you have a Normal distribution representing the likelihood of completion times. The mean of this distribution is 10, and the standard deviation is 3. The probability of completing the project in 8 or fewer days is the same as the probabilit..
Compare the performance of the two bonds in the two scenarios, one involving an increase in rates, the other a decrease. Based on the comparative investment performance, explain the attraction of convexity.
You borrowed $20,000 from your uncle to finance your college education. Your uncle is very flexible in your repayment plan, but he will charge an 8% interest compounded annually for any unpaid balance.
Suppose that currency in circulation is $600 billion, the amount of checkable deposits is $900 billion, excess reserves are $15 billion, and the required reserve ratio on checkable deposits is 10%. Calculate the money supply, the currency deposit r..
the state of glottamora has $100 million remaining in its budget for the current year. one alternative is to give glottamora a one- time tax rebate. alternatively, two proposals have been made for state expenditures of these funds.
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