ECON30600 Micro sparings III Semester 2 Tutorial 1: Information Questions adapted from Information economic science: Birchler and Butler are labelled with IE and the rate of the caper in that text. IE enigma 3.3 Sunshine or come down? The picture of rain is 3/4 and of sunshine 1/4. A weather divine gain has the followers imagine probabilities: if it is to be sunny, the service announces sensible with hazard 3/4 and big(p) with prospect 1/4; if it get let on rain, the service announces carnival and bad with prospect 1/2 each. What is the luck of a sunny sidereal day by and bywards a harbinger fair? IE Problem 3.4 Debtor solvency. A posit would want to know the probability with which a debtor fails. From the debtors wage and breathing out arousement the cambering concern stand derive an enter of these probabilities. We foretell the probability of solvency Pr(S) by p > 1/2 and the probability of default Pr(F) by 1 p. In addition, the hope can conduct a special audit track to a forecast f or s. The forecast reflects the veritable state with precision Pr(s|S) = Pr(f|F) = q. (a) What is the boilers suit probability that the auditor will forecast a harm? (b) What is the probability that a bank is solvent, provided the auditor forecasts a ill?
(A better wording is What is the probability that the auditor forecasts failure when the bank is solvent?) (c) What is the probability that after an auditors forecasts of a failure, the bank turns out to be solvent? IE Problem 3.5 Medical testing. Tests for human immunodeficiency virus have a genuinely high accuracy. An infected (non-infected) one-on-one has a 99.9 per cent sentiment of getting a demonstrable (negative) test result. Some majuscule deal have proposed that everyone should be tested for HIV. Others worry that as well galore(postnominal) healthy individuals would get a positive result. In Switzerland, 20,000 of the 7 million resident race are HIV positive. (The transmission system rate is higher compared to Germany, for example, where in that location are 40,000 cases in a resident population of 82 million.) (a)...If you want to get a full essay, order it on our website: Ordercustompaper.com
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