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: 
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