On November 20, 2020, Pfizer and BioNTech applied to the US Food and Drug Administration for emergency use authorization of their Covid-19 vaccine. The application was based on interim results from the phase 3 clinical trial. About 51.05% of the study participants had received the vaccine. Of the participants in the trial who had received the vaccine, 0.04% became infected with Covid-19. Of the participants in the trial who had not received the vaccine, 0.78% became infected with Covid-19. Show your work for the following questions. ). What is the probability that a participant became infected with Covid-192 (). If a participant became infected with Covid-19, what is the probability that he/she had received the vaccine? (i). Are the events A = {a participant received the vaccine) and B = {a participant became infected with Coivd-19} independent? Explain