Consider the following scenario and answer the questions below. For any calculations, include your working. In an experiment, 500 people receive a new test for detecting the COVID-19 virus, where 50 are known to have the virus and 450 are known to not have it. The test correctly detects 45 out of 50 cases, but also incorrectly diagnoses 50 of the 450 people as having the virus. a. In this experiment, how many true positives, false positives, true negatives, and false negatives are there? [2 marks] b. Based on the numbers presented above, calculate the following [6 marks]: i. Precision ii. Recall iii. Accuracy c. Which is a better measure of performance in this scenario, Recall or Accuracy? Why? [2 marks] d. For the test to be worth rolling out to the public, you are told that it requires an F-score above 0.75, and that Recall is twice as important as Precision. Should the test be rolled out [1 mark]? What is the F-score of the test [4 marks]