Principles Of Economics 2e
2nd Edition
ISBN: 9781680920864
Author: Timothy Taylor, Steven A. Greenlaw, David Shapiro
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 19, Problem 20CTQ
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2. Question
The 'Democratic Family' consists of three members {mother m, father f, daughter
d}, that have different preferences with respect to how much money X € [0,8]
they think should be invested in the new family car. These preferences can be
represented by the following utility functions:
-
Mother m: um(X) = 2X - X²
Father f: uf(X) = 10X - X²
- Daughter d: ud(X) = 4X - X²
Calculate for each family member (f, m, d) the preferred amount of money
to invest in the new car denoted by X; for i = {m, f,d}. Assume that
(Xf, Xm, Xd) are the three alternatives on which the family must decide. Show
that each family member has rational preferences over this domain.
Preferences on the family level are determined by pairwise majority voting (all
family members vote on two alternatives). Derive the family preference and
check whether it is rational.
Assume that the final family decision is made by conducting sequential pair-
wise majority voting, where the loosing alternative is eliminated. Does…
3. Question
You invented a new lateral-flow test for asymptomatic Covid-19 detection,
where saliva is entered into a test-tube and then the result is shown directly
on the device. However, to save on costly chemicals you designed the tests
such that it always reports a negative test result. Assume that the incidence
rate is 5 per 1000 and that your test is used for detection of asymptomatic
cases (without symptoms).
(a) Calculate the probability that 100 randomly determined volunteers receive
a correct test result by using the AND-rule and the OR-rule. Can your
test be qualified as a diagnostic test?
(b) The health authorities are investigating the performance of your test.
Government guidelines require a specificity (conditional probability to re-
ceive a negative test result given that the test-taker is not infected with
COVID19) of at least 97% and a sensitivity (conditional probability to
receive a positive test result given that the test-taker is infected with
COVID-19) of at…
3. Question
You invented a new lateral-flow test for asymptomatic Covid-19 detection,
where saliva is entered into a test-tube and then the result is shown directly
on the device. However, to save on costly chemicals you designed the tests
such that it always reports a negative test result. Assume that the incidence
rate is 5 per 1000 and that your test is used for detection of asymptomatic
cases (without symptoms).
(a) Calculate the probability that 100 randomly determined volunteers receive
a correct test result by using the AND-rule and the OR-rule. Can your
test be qualified as a diagnostic test?
(b) The health authorities are investigating the performance of your test.
Government guidelines require a specificity (conditional probability to re-
ceive a negative test result given that the test-taker is not infected with
COVID19) of at least 97% and a sensitivity (conditional probability to
receive a positive test result given that the test-taker is infected with
COVID-19) of at…
Chapter 19 Solutions
Principles Of Economics 2e
Ch. 19 - Country A has export sales of 20 billion,...Ch. 19 - Which of the following are included in GDP, and...Ch. 19 - Using data from Table 19.5 how much of the nominal...Ch. 19 - Without looking at Table 19.7, return to Figure...Ch. 19 - According to Table 19.7, how often have recessions...Ch. 19 - According to Table 19.7, how long has the average...Ch. 19 - According to Table 19.7, how long has the average...Ch. 19 - Is it possible for GDP to rise while at the same...Ch. 19 - The Central African Republic has a GDP of...Ch. 19 - Explain briefly whether each of the following...
Ch. 19 - What are the main components of measuring GDP with...Ch. 19 - What are the main components of measuring GDP with...Ch. 19 - Would you usually expect GDP as measured by what...Ch. 19 - Why must you avoid double counting when measuring...Ch. 19 - What is the difference between a series of...Ch. 19 - How do you convert a series of nominal economic...Ch. 19 - What are typical GDP patterns for a high-income...Ch. 19 - What are the two main difficulties that arise in...Ch. 19 - List some of the reasons why economists should not...Ch. 19 - U.S. macroeconomic data are among the best in the...Ch. 19 - What does GDP not tell us about the economy?Ch. 19 - Should people typically pay more attention to...Ch. 19 - Why do you suppose that U.S. GDP is so much higher...Ch. 19 - Why do you think that GDP does not grow at a...Ch. 19 - Cross country comparisons of GDP per capita...Ch. 19 - Why might per capita GDP be only an imperfect...Ch. 19 - How might you measure a green GDP?Ch. 19 - Last year, a small nation with abundant forests...Ch. 19 - The prime interest rate is the rate that banks...Ch. 19 - A mortgage 105m is a loan that a person makes to...Ch. 19 - Ethiopia has a GDP of 8 billion (measured in U.S....Ch. 19 - In 1980, Denmark had a GDP of 70 billion (measured...Ch. 19 - The Czech Republic has 3 GDP of 1,800 billion...
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