In the United States, data has shown that people who identify with the Republican Party are less likely to get vac- cinated against COVID-19 compared to people who identify with other parties. This is leading to a phenomenon dubbed "red COVID," where the prevalence of COVID-19 is much higher in "red" (Republican-leaning) states than in other states. Based on a Gallup poll, if an American identifies with the Republican Party, they have a 52% chance of being vaccinated against COVID-19, if an American identifies with the Democratic Party, they have a 81% chance of being vaccinated against COVID-19, and if an American identifies with the Independent Party, they have a 64% chance of being vaccinated against COVID-19. In this poll, 43% of responders identified with the Republican Party, 49% of responders identified with the Democratic Party, and 8% identified with the Independent Party. a) what's the probability that a randomly -selected poll participant was vaccinated ? b) if a randomly- selected poll participant is vaccinated.what is the probability that they identify with the Democratic Party ? c) what is the probability that a randomly-selected poll participant is vaccinated and identifies with the Republican Party