Park Rangers in a Yellowstone National Park have determined that fawns less than 6 months old have a body weight that is approximately normally distributed with a mean µ = 26.1 kg and standard deviation σ = 4.2 kg. Let x be the weight of a fawn in kilograms. Complete each of the following steps for the word problems below: Rewrite each of the following word problems into a probability expression, such as P(x>30). Convert each of the probability expressions involving x into probability expressions involving z, using the information from the scenario. Sketch a normal curve for each z probability expression with the appropriate probability area shaded. Solve the problem.
1. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs less than 25 kilograms?
2. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs more than 19 kilograms?
3. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs between 30 and 38 kilograms?
4. If a fawn less than 6 months old weighs 16 pounds, would you say that it is an unusually small animal? Explain and verify your answer mathematically.
5. What is the weight of a fawn less than 6 months old that corresponds with a 20% probability of being randomly selected? Explain and verify your answer mathematically.
In: Math
On January 1, Park Corporation and Strand Corporation had condensed balance sheets as follows:
| Park | Strand | ||||||
| Current assets | $ | 74,500 | $ | 16,050 | |||
| Noncurrent assets | 92,250 | 46,200 | |||||
| Total assets | $ | 166,750 | $ | 62,250 | |||
| Current liabilities | $ | 32,000 | $ | 12,250 | |||
| Long-term debt | 51,750 | ||||||
| Stockholders' equity | 83,000 | 50,000 | |||||
| Total liabilities and equities | $ | 166,750 | $ | 62,250 | |||
On January 2, Park borrowed $66,000 and used the proceeds to obtain 80 percent of the outstanding common shares of Strand. The acquisition price was considered proportionate to Strand’s total fair value. The $66,000 debt is payable in 10 equal annual principal payments, plus interest, beginning December 31. The excess fair value of the investment over the underlying book value of the acquired net assets is allocated to inventory (60 percent) and to goodwill (40 percent).
(1) On a consolidated balance sheet as of January 2, what should be the amount for current assets?
(2) On a consolidated balance sheet as of January 2, what should be the amount for non current assets?
In: Accounting
Suppose the Environmental Protection Agency (EPA) wants to mandate that all methane emissions must be reduced to zero in order to alleviate global warming in the United States.
Which of the following describes why most economists would disagree with this policy?
Reducing methane emissions is desirable, but whatever levels of pollution firms decide to emit privately are already efficient.
Society would not benefit from lower air pollution.
The opportunity cost of zero pollution is much higher than its benefit.
The environment isn't worth protecting.
In: Economics
Which of the following statement is correct? Select one:
a. Cultural risk is the risk that foreigners doing business in another country will fail to adapt to cultural differences, and this failure will affect the MNC’s success.
b. All the answers are incorrect.
c. The firm using the hedging instruments such as a forward, futures, or swap contract magnifies the foreign exchange risk.
d. Mexican tourists tend to come to the United States in smaller numbers when the dollar is weakening against the Mexican peso.
e. Expropriation of assets is an example of economic risk.
In: Finance
Please find the latest values (figures) for the following measures of interest rates in the United States. Please include the source of your information
.
A. The Federal Funds Rate =
B. The Discount Rate =
C. The Prime (lending) Rate =
D. The 90 day U.S. Treasury Bill Rate =
E. The 10 year U.S. Government Bond Rate =
F. The 15 year Fixed Mortgage Rate =
G. The 30 year Fixed Mortgage Rate =
2. What are the definitions of the Prime Lending Rate, the Discount Rate, and the Federal Funds
Rate?
In: Finance
Grades on a standardized test are known to have a mean of 10901090 for students in the United States. The test is administered to 458458 randomly selected students in Florida; in this sample, the mean is 1104.171104.17 and the standard deviation (s) is 117.72117.72. Another 508508 students are selected at random from Florida. They are given a 3-hour preparation course before the test is administered. Their average test score is 1110.711110.71 with a standard deviation of 103.55103.55. The 95% confidence interval for the change in average test score associated with the prep course is (1101.711101.71, 1119.711119.71). (Round your responses to two decimal
In: Statistics and Probability
Critical Thinking Assignment #2
5. Most of the democratic countries of the world have abolished capital punishment-why-what are the arguments against capital punishment? Why do you think the United States still uses execution-what are the arguments in favor of it? If other countries had our crime rate, do you think they would want capital punishment? What are the arguments for and against capital punishment for juveniles. Do we draw the line according to age or severity of crime?
PLEASE WRITE AS MUCH AS POSSIBLE!!!
In: Economics
Which of the following statements is correct?
If a firm is located in a country with a relatively unstable political environment, management will require a lower rate of return on capital projects.
Foreign bonds sold in the United States are called Samurai bonds.
The spot rate is the exchange rate at which one currency can be converted to another immediately.
All the answers are correct.
With the international capital budgeting, the decision to accept international projects with a negative NPV increases the value of the firm and is consistent with the fundamental goal of financial management, which is to maximize the sales.
In: Finance
|
The treasurer of a major U.S. firm has $25 million to invest for three months. The interest rate in the United States is .25 percent per month. The interest rate in Great Britain is .30 percent per month. The spot exchange rate is £.625, and the three-month forward rate is £.628. |
|
What would be the value of the investment if the money is invested in U.S and Great Britain? (Enter your answers in dollars, not in millions of dollars, and round your answers to 2 decimal places, e.g., 1,234,567.89.) |
| U.S. | $ |
| Great Britain | $ |
In: Finance
The economies of China and India experienced very rapid growth.
This increases their
citizens’ income and wealth. In turn, these citizens increase their
savings in their country
and also in the United States.
@ When foreign savings enter the US loanable funds market, which
curves if affected — supply
or demand? How is the curve affected?
@ Draw the graph of the US loanable funds market both before and
after the increase in
foreign savings?
@ How does the change in foreign savings affect both investment
and future output in the
US?
Please describe in detail.
In: Economics