Note: write your answer as a %, rounded to 2 decimal places. For example, if your answer is 0.12345, write 12.35 Phuc believes that Al will completely revolutionise the finance industry in the coming years. In a bid to remain competitive, he has invested in 3 state of-the art supercomputers purchased from 3 different brands (IBM, Intel, and NEC) that can handle massive amounts of financial data. Phuc plans to use these supercomputers in his hedge fund, PhucTec. Phuc has asked you to run a large number of financial stress tests on PhucTec's investment strategy. Each stress test will be run on one of the three supercomputers, and the result of each stress test is either "pass", "fail", or "inconclusive". Phuc instructed you to use the IBM supercomputer on twice as many tests as the Intel supercomputer, and to use the NEC supercomputer on the same number of tests as the IBM supercomputer. The IBM supercomputer produced a "pass" result in 80% of its tests, and a "fail" result in the remaining tests. The Intel supercomputer produced a "pass" result in 60% of its tests, and a "fail" result in the remaining tests. The NEC supercomputer produced an "inconclusive" result in 5% of its tests; in its remaining tests, 85% produced a "pass" result. Part a [1 mark] What fraction of tests used the Intel supercomputer? Part b [1 mark] What is the probability that a randomly selected test produced a "pass" result? Part c [1 mark] If a test produced a "pass" result, what is the probability that it was processed by the IBM supercomputer? Part d [1 mark] Which of the parts (a)/(b)/(c) involves the application of Bayes' theorem? (No answer given)