3. Consider the following data tabulating, by age group and vaccination status, the number of cases per 100,000 US residents who were hospitalized for COVID-19 during the week ending in February 5, 2022: Age Group Unvaccinated Fully vaccinated 5-11 yr 1.2 0.8 12-17 yr 4.3 2.3 18-49 yr 20.7 5.2 50-64 yr 64.8 12.6 65+ yr 228.7 28.7 Use this empirical data to answer the following questions: a. What is the probability that a US resident 65 years old and over was hospitalized for COVID-19, given that that person is fully vaccinated? b. What is the probability that an unvaccinated 5-11 year old was hospitalized for COVID? c. Who has a higher chance of being hospitalizeda fully vaccinated 55 year old or an unvaccinated 15 year old? Explain