Question 1 3 The following questions will be with regard to the recent FDA authorization Pzer-BioNTech announcement the FDA did a preliminary analysis of the effectiveness of the vaccine. It indicate that of the 1305 that received the vaccine, 3 cases of COVlD-19 occurred, and of the 663 that received a placebo, 16 cases of COVID-19 occurred. Which of the following tables represents the data used for the preliminary analysis? -m COVID- 19 -\"- Question 2 3 pts Using the data or the information in the table: If we select one of the 19 participants at random, given that they contracted COVID 19, what is the probability that they got the vaccine? That is... ? P( got vaccine | contracted COVlD-19) 0 0.1579 0 0.0023 0 0.3320 Question 3 3 pts Using the data or the information in the table: If we select one of the 1968 participants at random, what is the probability that they got the vaccine? That is... P(got vaccine)=? 0 0.6631 0 0.3369 O 0.0097 Question 4 5 pts Using your responses to Questions 2 and 3, is getting COVlD-19 independent of getting the vaccine? You must explain your reasoning. Your reasoning must include the numerical responses to questions 2 and 3. Edit View Insert Format Tools Table 12pt V Paragraph V B I U v a v T2 v D Question 5 4 pts Vaccine efficacy is the percent reduction in COVID-19 infection rates in those that received the vaccine compared to those received the placebo. Vaccine Efficacy = Infection rate for placebo group - infection rate for vaccine group x 100% infection rate for placebo group using probability notation Vaccine Efficacy = P(contracted COVID - 19 | placebo) - P(contracted COVID - 19 | vaccine) P(contracted COVID - 19 | placebo) x 100% Which of the following would be the correct way to calculate the vaccine efficacy? O 647 3 1302 16 Vaccine Efficacy = x 100% 647 1302 O 16 663 19 1949 Vaccine Efficacy = x 100% 16 19 O 16 3 663 1305 Vaccine Efficacy = x 100% 16 663