Exam Question 7 The following table shows the number of peop…
Exam Question 7 The following table shows the number of people who developed Covid-19 in a sample of 94 total participants who developed Covid-19. Participants are organized by their reported gender and whether they received a vaccine or placebo in the trial. Vaccine Placebo Total Male 4 42 46 Female 3 36 39 Other 1 8 9 Total 8 86 94 What is the probability of someone with a placebo developing Covid-19? To earn full credit, write your answer using probability notation, as a fraction and decimal rounded to three decimal places. What is the probability that someone who is female and takes a placebo develops Covid-19? To earn full credit, write your answer using probability notation, as a fraction and decimal rounded to three decimal places. Given a subject is female, what is the probability that someone who takes a placebo develops Covid-19? To earn full credit, write your answer using probability notation, as a fraction and decimal rounded to three decimal places. A student answers the following question incorrectly. Explain the mistake they made and answer the question correctly (use proper notation and justify your answer with a calculation). Question: Is it more likely to meet a man with a placebo that developed Covid-19 or a woman with a placebo that develops Covid-19? Answer: Since there are more men who received the placebo than women, you are more likely to meet a man with a placebo that developed Covid-19. What is the probability that someone who is female or takes a placebo develops Covid-19? To earn full credit, write your answer using probability notation, as a fraction and decimal rounded to three decimal places.