Hi! This is technically one question and I can't ask for help separately because the answers all relate to each other. I would really appreciate your help in answering this for my homework.

1. Consider the dashboard provided by Oregon Health & Science University as of September 23. This dashboard reports 53 hospitalization cases that are due to Covid 19. a. Write down in notation the probability that corresponds to the 85% share of Covid-l9 hospitalization cases. b. Write down in notation 2 probabilities that are required in order determine whether being zlly vaccinated reduces the risk of hospitalization due to Covid 19. c. There are roughly 13,000 Covid- l9 hospitalization cases out of a population of 3.7M individuals in the last 2 weeks in Oregon. Compute the probability that an individual is hospitalized due to Covid 19. (1. Compute the probability that an individual is fully vaccinated against Covid-19 and hospitalized due to Covid-19. e. Additionally, 60% of Oregonians are fully vaccinated against Covid 19 and 40% are not. i. Compute the probability of being hospitalized due to Covid-19 for an individual who is fully vaccinated against Covid-19. ii. Compute the probability of being hospitalized due to Covid-19 for an individual who is NOT fully vaccinated against Covid-l9. f. This dashboard was shared by one of my high school friends from Oregon with the intention to emphasiZe the importance of the Covid 19 vaccines. Based on your previous analysis, explain why the dashboard alone does not provide sufficient information to support her well-intended message. g. A recent article in the New York Times reports that a not Jlly vaccinated individual is 23 times more likely to be hospitalized due to Covid-19; however, this comparison was based on data collected in January 2021 before the Delta variant became prevalent. Use your answers to part c to update this number and round it to the nearest integer. h. Determinl whether the event of being hospitalized due to Covid 19 is independent of the eVent of being fully Vaccinated. Simply Write dOWn YES or NO