Question: Consider the following scenarios to determine if

> In the trade scenario in problem 1, due to overfishing, Norway becomes unable to catch the quantity of fish that it could in previous years. This change causes both a reduction in the potential quantity of fish that can be produced in Norway and an incre

> Which of the following countries would you expect to have intertemporal production possibilities biased toward current consumption goods, and which biased toward future consumption goods? a. A country like Argentina or Canada in the last century that has

> Explain the analogy between international borrowing and lending and ordinary international trade.

> Equation (2.1) says that trade between any two countries is proportional to the product of their GDPs. Does this mean that if the GDP of every country in the world doubled, world trade would quadruple?

> Suppose Country X subsidizes its exports and Country Y imposes a “countervailing” tariff that offsets the subsidy’s effect, so that in the end, relative prices in Country Y are unchanged. What happens to the terms of trade? What about welfare in the two

> In the discussion of empirical results on the Heckscher-Ohlin model, we noted that recent work suggests that the efficiency of factors of production seems to differ internationally. Explain how this would affect the concept of factor-price equalization.

> Explain why the Leontief paradox and the more recent Bowen, Leamer, and Sveikauskas results reported in the text contradict the factor-proportions theory.

> Recently, computer programmers in developing countries such as India have begun doing work formerly done in the United States. This shift has undoubtedly led to substantial pay cuts for some programmers in the United States. Answer the following two ques

> The U.S. labor movement—which mostly represents blue-collar workers rather than professionals and highly educated workers—has traditionally favored limits on imports from less-affluent countries. Is this a short sighted policy or a rational one in view o

> The world’s poorest countries cannot find anything to export. There is no resource that is abundant—certainly not capital or land, and in small poor nations not even labor is abundant.” Discuss.

> In the United States, where land is cheap, the ratio of land to labor used in cattle raising is higher than that of land used in wheat growing. But in more crowded countries, where land is expensive and labor is cheap, it is common to raise cows by using

> Go back to the numerical example with no factor substitution that leads to the production possibility frontier in Figure 5-1. Data from Figure 5-1: a. What is the range for the relative price of cloth such that the economy produces both cloth and food

> Studies of the effects of immigration into the United States from Mexico tend to find that the big winners are the immigrants themselves. Explain this result in terms of the example in problem 6. How might things change if the border were open, with no r

> Using the numerical example in problem 5, assume now that Foreign limits immigration so that only two workers can move there from Home. Calculate how the movement of these two workers affects the income of five different groups: Problem 5: In Home and

> Mexico and Brazil have very different trading patterns. While Mexico trades mainly with the United States, Brazil trades about equally with the United States and with the European Union. In addition, Mexico does much more trade relative to its GDP. Expla

> In Home and Foreign, there are two factors each of production, land, and labor used to produce only one good. The land supply in each country and the technology of production are exactly the same. The marginal product of labor in each country depends on

> Consider two countries (Home and Foreign) that produce goods 1 (with labor and capital) and 2 (with labor and land) according to the production functions described in problems 2 and 3. Initially, both countries have the same supply of labor (100 units ea

> The marginal product of labor curves corresponding to the production functions in problem 2 are as follows: Data from Problem 2: An economy can produce good 1 using labor and capital and good 2 using labor and land. The total supply of labor is 100 un

> An economy can produce good 1 using labor and capital and good 2 using labor and land. The total supply of labor is 100 units. Given the supply of capital, the outputs of the two goods depend on labor input as follows: a. Graph the production functions

> In 1986, the price of oil on world markets dropped sharply. Since the United States is an oil-importing country, this was widely regarded as good for the U.S. economy. Yet in Texas and Louisiana, 1986 was a year of economic decline. Why?

> Suppose that instead of 1,200 workers, Home has 2,400. Find the equilibrium relative price. What can you say about the efficiency of world production and the division of the gains from trade between Home and Foreign in this case?

> Now suppose world relative demand takes the following form: Demand for apples>demand for bananas = price of bananas>price of apples. a. Graph the relative demand curve along with the relative supply curve. b. What is the equilibrium relative price of app

> Home is as described in problem 1. There is now also another country, Foreign, with a labor force of 800. Foreign’s unit labor requirement in apple production is 5, while in banana production it is 1. Data from Problem 1: Home has 1,200 units of labor

> Home has 1,200 units of labor available. It can produce two goods, apples and bananas. The unit labor requirement in apple production is 3, while in banana production it is 2. a. Graph Home’s production possibility frontier. b. What is the opportunity co

> We have focused on the case of trade involving only two countries. Suppose that there are many countries capable of producing two goods, and that each country has only one factor of production, labor. What could we say about the pattern of production and

> Canada and Australia are (mainly) English-speaking countries with populations that are not too different in size (Canada’s is 60 percent larger). But Canadian trade is twice as large, relative to GDP, as Australia’s. Why should this be the case?

> In 2008, it appeared that rising gas prices had made Californians less resistant to offshore drilling. A Field Poll survey showed that a higher proportion of Californians supported the idea of drilling for oil or natural gas along the state’s coast than

> Enacted in 1998, the Children’s Online Privacy Protection Act requires firms to obtain parental consent before tracking the information and the online movement of children; however, the act applies to those children ages 12 and under. Teenagers are often

> It is common to ignore the thyroid gland of women during pregnancy (The New York Times, April 13, 2009). This gland makes hormones that govern metabolism, helping to regulate body weight, heart rate, and a host of other factors. If the thyroid malfunctio

> Ever since the introduction of New Coke failed miserably in the 1980s, most food and beverage companies have been cautious about changing the taste or formula of their signature offerings. In an attempt to attract more business, Starbucks recently introd

> Assume high school coach Emily Williams has seven possible swimmers for a four-person relay team. a. If the order for the freestyle relay is unimportant, how many different relay teams are possible? b. Assume for the medley relay team that order is impor

> Prior to the start of the season, a sports analyst is attempting to predict the end-of-season rankings of the 10 teams in a conference. a. How many different ways can the teams be ranked if ties are not considered? b. How many different outcomes are poss

> According to the Census’s Population Survey, the percentage of children with two parents at home is the highest for Asians and lowest for blacks (USA Today, February 26, 2009). It is reported that 85% of Asian children have two parents at home versus 78%

> A 2015 national survey by the Washington Post-Kaiser Family Foundation finds that there is a big gender divide between Americans when identifying as feminist or strong feminist. The results of the survey are shown in the following table. In addition, per

> Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly end up doing well in the course (get a grade of A or B). Only 20% of students who had not been doing homework regularly en

> According to data from the National Health and Nutrition Examination Survey, 36.5% of adult women and 26.6% of adult men are at a healthy weight. Suppose 50.52% of the adult population consists of women. a. What proportion of adults is at a healthy weigh

> Let P(A) = 0.55, P(B) = 0.30, and P (A ∩ B) = 0.10. a. Calculate P (A ∣ B). b. Calculate P (A ∪ B). c. Calculate P ((A ∪ B)c).

> Consider the following scenarios to determine if the mentioned combination of attributes represents a union or an intersection. a. There are two courses that seem interesting to you, and you would be happy if you can take at least one of them. b. There a

> Apparently, depression significantly increases the risk of developing dementia later in life (BBC News, July 6, 2010). In a study, it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not

> An analyst predicts that there is a 40% chance that the U.S. economy will perform well. If the U.S. economy performs well, then there is an 80% chance that Asian countries will also perform well. On the other hand, if the U.S. economy performs poorly, th

> It has been reported that women end up unhappier than men later in life, even though they start out happier (Yahoo News, August 1, 2008). Early in life, women are more likely to fulfill their family life and financial aspirations, leading to greater over

> A study in the Journal of the American Medical Association (February 20, 2008) found that patients who go into cardiac arrest while in the hospital are more likely to die if it happens after 11 pm. The study investigated 58,593 cardiac arrests that occur

> At a local bar in a small Midwestern town, beer and wine are the only two alcoholic options. The manager noted that of all male customers who visited over the weekend, 150 ordered beer, 40 ordered wine, and 20 asked for soft drinks. Of female customers,

> It has generally been believed that it is not feasible for men and women to be just friends (The New York Times, April 12, 2012). Others argue that this belief may not be true anymore since gone are the days when men worked and women stayed at home and t

> A professor of management has heard that eight students in his class of 40 have landed an internship for the summer. Suppose he runs into two of his students in the corridor. a. Find the probability that neither of these students has landed an internship

> According to the CGMA Economic Index, which measures executive sentiment across the world, 18% of all respondents expressed optimism about the global economy (www.aicpa.org, March 29, 2012). Moreover, 22% of the respondents from the United States and 9%

> A study shows that unemployment does not impact males and females in the same way (Newsweek, April 20, 2009). According to a Bureau of Labor Statistics report, 8.5% of those who are eligible to work are unemployed. The unemployment rate is 8.8% for eligi

> Let P(A) = 0.65, P(B) = 0.30, and P (A ∣ B) = 0.45. a. Calculate P (A ∩ B). b. Calculate P (A ∪ B). c. Calculate P (B ∣ A).

> Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store in Morganville, New Jersey, regularly buys mangoes from a wholesale dealer. For every shipment, the manager randomly inspects two mangoes from a box conta

> Anthony Papantonis, owner of Nauset Construction, is bidding on two projects, A and B. The probability that he wins project A is 0.40 and the probability that he wins project B is 0.25. Winning Project A and winning Project B are independent events. a. W

> How much you smile in your younger days can predict your later success in marriage (www.msnbc.com, April 16, 2009). The analysis is based on the success rate in marriage of people over age 65 and their smiles when they were only 10 years old. Researchers

> The following frequency distribution shows the ages of India’s 40 richest individuals. One of these individuals is selected at random. a. What is the probability that the individual is between 50 and 60 years of age? b. What is the pr

> The Easy Credit Company reports the following table representing a breakdown of customers according to the amount they owe and whether a cash advance has been made. An auditor randomly selects one of the accounts. a. What is the probability that a cust

> Henry Chow is a stockbroker working for Merrill Lynch. He knows from past experience that there is a 70% chance that his new client will want to include U.S. equity in her portfolio and a 50% chance that she will want to include foreign equity. There is

> According to eMarketer estimates, 88.3% of 12- to 17-year-olds had a mobile phone in 2016. Among those with mobile phones, 84.0% had smartphones. Calculate the proportion of 12- to 17-year-olds who had smartphones.

> AccuScore calculated an 84% chance that there would be a fight during the game between the Anaheim Ducks and the Chicago Blackhawks, two of the National Hockey League’s most pugnacious teams (The Wall Street Journal, March 3, 2009). What are the odds for

> According to a global survey of 4,400 parents of children between the ages of 14 to 17, 44% of parents spy on their teen’s Facebook account (www.msnbc.com, April 25, 2012). Assume that American parents account for 10% of all parents of teens with Faceboo

> Prior to the Academy Awards ceremony in 2009, the United Kingdom bookmaker Ladbrokes reported the following odds for winning an Oscar in the category of best actress (The Wall Street Journal, February 20, 2009). a. Express the odds for each actress win

> David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 8 people will be randomly picked for a free lesson of a Tahitian dance. a. What is the probability that bot

> Jacqueline Fibbe manages 10 employees at a small ice cream store in Beverly Farms, MA. She assigns three employees for each eight-hour shift. a. If order is not important, in how many different ways can she select three employees from the total of 10 for

> Jane Peterson has taken Amtrak to travel from New York to Washington, DC, on six occasions, of which three times the train was late. Therefore, Jane tells her friends that the probability that this train will arrive on time is 0.50. Would you label this

> A horse-racing fan is contemplating the many different outcomes in an eight-horse race. a. How many different outcomes are possible if only the first three places are considered and ranking (first, second, and third) is important? b. If each of the outco

> There are 10 players on the local basketball team. The coach decides to randomly pick 5 players to start the game. a. In how many different ways can the coach select 5 players to start the game if order does not matter? b. In how many different ways can

> Twenty cancer patients volunteer for a clinical trial. Ten of the patients will receive a placebo and 10 will receive the trial drug. In how many different ways can the researchers select 10 patients to receive the trial drug from the total of 20?

> At a local elementary school, a principal is making random class assignments for her 8 teachers. Each teacher must be assigned to exactly one job. In how many ways can the assignments be made?

> Calculate the following values. a. 7! and 3! b. 7C3 c. 7P3

> Calculate the following values. a. 8! and 6! b. 8C6 c. 8P6

> An analyst thinks that next year there is a 20% chance that the world economy will be good, a 50% chance that it will be neutral, and a 30% chance that it will be poor. She also predicts probabilities that the performance of a start-up firm, Creative Ide

> On Sunday, July 11, 2010, Spain and the Netherlands played in the 2010 World Cup Final in Johannesburg. On the eve of the final, many betting lines were offering Spain’s odds for winning at 15:8 (Odds checker website). a. Spain won the World Cup. Suppos

> A crucial game of the Los Angeles Lakers basketball team depends on the health of their key player. According to his doctor’s report, there is a 40% chance that he will be fully fit to play, a 30% chance that he will be somewhat fit to play, and a 30% ch

> According to data from the National Health and Nutrition Examination Survey, 33% of white, 49.6% of black, 43% of Hispanic, and 8.9% of Asian women are obese. In a representative town, 48% of women are white, 19% are black, 26% are Hispanic, and the rema

> According to a study, cell phones are the main medium for teenagers to stay connected with friends and family (CNN, March 19, 2012). It is estimated that 90% of older teens and 60% of younger teens own a cell phone. Suppose 70% of all teens are older tee

> Survey data, based on 65,000 mobile phone subscribers, shows that 44% of the subscribers use smartphones (Forbes, December 15, 2011). Based on this information, you infer that the probability that a mobile phone subscriber uses a smartphone is 0.44. Woul

> The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specifically, the gun advertises ±

> An analyst expects that 20% of all publicly traded companies will experience a decline in earnings next year. The analyst has developed a ratio to help forecast this decline. If the company is headed for a decline, there is a 70% chance that this ratio w

> Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 10%. Ther

> Let a sample space be partitioned into three mutually exclusive and exhaustive events, B1, B2, and B3. Complete the following probability table. Prior Conditional Joint Posterior Probabilities Probabilities Probabilities Probabilities P(B,) = 0.10 P

> Complete the following probability table Prior Conditional Joint Posterior Probability Probability Probability Probability Р(B) 3D 0.85 Р(A | В) 3D 0.05 P(ANB) = P(B | A) = P(B c) = P(A I BC) = 0.80 P(AN BC) = Р(вс | А) - Total : P(A) = Total = %D %

> Complete the following probability table: Prior Conditional Joint Posterior Probability Probability Probability Probability P(A) = 0.30 P(B | A) = 0.25 P(A N B) = P(A | B) = %3D P(AC) = P(B A c) = 0.80 P(ACN B) = P(AC | B) = Total = P(B) = Total =

> At four community health centers on Cape Cod, Massachusetts, 15,164 patients were asked to respond to questions designed to detect depression (The Boston Globe, June 11, 2008). The survey produced the following results. a. What is the probability that

> Let P(A) = 0.70, P (B ∣ A) = 0.55, and P (B ∣ Ac) = 0.10. Use a probability tree to calculate the following probabilities: a. P(Ac) b. P (A ∩ B) and P (Ac ∩ B) c. P(B) d. P (A ∣ B)

> Let P(B) = 0.60, P (A ∣ B) = 0.80, and P (A ∣ Bc) = 0.10. Calculate the following probabilities: a. P(Bc) b. P (A ∩ B) and P (A ∩ Bc) c. P (A) d. P (B ∣ A)

> The research team at a leading perfume company is trying to test the market for its newly introduced perfume. In particular the team wishes to look for gender and international differences in the preference for this perfume. They sample 2,500 people inte

> More and more households are struggling to pay utility bills given high heating costs (The Wall Street Journal, February 14, 2008). Particularly hard hit are households with homes heated with propane or heating oil. Many of these households are spending

> A sample space, S, yields four simple events, A, B, C, and D, such that P(A) = 0.35, P(B) = 0.10, and P(C ) = 0.25. a. Find P(D). b. Find P(Cc). c. Find P (A ∪ B).

> Merck & Co. conducted a study to test the promise of its experimental AIDS vaccine (The Boston Globe, September 22, 2007). Volunteers in the study were all free of the human immunodeficiency virus (HIV), which causes AIDS, at the start of the study,

> According to a Michigan State University researcher, Americans are becoming increasingly polarized on issues pertaining to the environment (msutoday.msu.edu, April 19, 2011). It is reported that 70% of Democrats see signs of global warming as compared to

> A poll asked 16- to 21-year-olds whether or not they are likely to serve in the U.S. military. The following joint probability table, cross-classified by gender and race, reports them proportion of those polled who responded that they are likely or very

> A report suggests that business majors spend the least amount of time on course work than all other college students (The NewYork Times, November 17, 2011). A provost of a university decides to conduct a survey where students are asked if they study hard

> According to an online survey by Harris Interactive for job site CareerBuilder.com, more than half of IT (information technology) workers say they have fallen asleep at work (InformationWeek, September 27, 2007). Sixty-four percent of government workers

> Many communities are finding it more and more difficult to fill municipal positions such as town administrators, finance directors, and treasurers. The following table shows the proportion of municipal managers by age group in the United States for the y

> Consider the following joint probability table. a. What is the probability that A occurs? b. What is the probability that B2 occurs? c. What is the probability that Ac and B4 occur? d. What is the probability that A or B3 occurs? e. Given that B2 has o

> Consider the following contingency table. a. Convert the contingency table into a joint probability table. b. What is the probability that A occurs? c. What is the probability that A and B occur? d. Given that B has occurred, what is the probability th

> A study challenges the media narrative that foreclosures are dangerously widespread (The New York Times, March 2, 2009). According to this study, 62% of all foreclosures were centered in only four states, namely, Arizona, California, Florida, and Nevada.

> According to results from the Spine Patient Outcomes Research Trial, or SPORT, surgery for a painful, common back condition resulted in significantly reduced back pain and better physical function than treatment with drugs and physical therapy (The Wall

> According to a survey by two United Nations agencies and a nongovernmental organization, two in every three women in the Indian capital of New Delhi are likely to face some form of sexual harassment in a year (BBC World News, July 9, 2010). The study als

> You roll a die with the sample space S = {1, 2, 3, 4, 5, 6}. You define A as {1, 2, 3}, B as {1, 2, 3, 5, 6}, C as {4, 6}, and D as {4, 5, 6}. Determine which of the following events are exhaustive and/or mutually exclusive. a. A and B b. A and C c. A an

> A study shows that unemployment does not impact white-collar and blue-collar workers equally (Newsweek, April 20, 2009). According to the Bureau of Labor Statistics report, while the national unemployment rate is 8.5%, it is only 4.3% for those with a co

> According to the Census’s Population Survey, the percentage of children with two parents at home is the highest for Asians and lowest for blacks (USA TODAY, February 26, 2009). It is reported that 85% of Asian, 78% of white, 70% of Hispanic, and 38% of b

> Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case one of them does not show up. From past experience, Christine knows that there is a 40% chance that Dave will not show up and