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(e) According to a report on 16 August 2021, it seems that the North Sydney and Hornsby area residents are leading the first dose of vaccination rate in Australia. However, people get infected by the COVID-19 even though they have their jab/s. Using the following data: . 25% of the North Sydney and Hornsby residents who have received their first dose of COVID- 19 vaccination have been infected by COVID-19; . 90% of the North Sydney and Hornsby residents who have been infected by COVID-19 show a positive test result; and 15% of the North Sydney and Hornsby residents who have received their first dose of COVID- 19 vaccination will have false positive test results. Determine the probability that a North Sydney and Hornsby resident who has received the first dose of COVID-19 vaccination has been infected by COVID-19 if she/he has a positive test result