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{a} It is known that some results of Covid19 tests are not always accurate. Suppose that a diagnostic test for positive Covid19 has 98% accuracy and 45% of all people have Covid19 disease. If a patient is tested positive, what is the probability that he actuallyljgs the disease? Give your answer in 2 decimal places. (b) Researchers observes that 65% of the people who were tested positive Covidlg were admitted in public hospitals, 25% were admitted at private hospitals, and 10% were selfisolatingr at home. These three categories of patients are cured with probabilities 0.90, 0.88 and 0.97, respectively. If a patient is not cured, nd the probability that he was admitted in a private hospital. Give your answer in 2 decimal places