17% of US citizens believe that getting vaccinated against COVID-19 will result in the inability to have children*. If 58 US Citizens are randomly selected, answer the following:

1. Justify what type of distribution is given. (Verify all four requirements.)
2. Demonstrate how to compute and then interpret the probability that at least 22 of them believe that getting vaccinated against COVID-19 will result in the inability to have children. Round your answer in four decimal places.
3. Demonstrate how to compute and then interpret the probability that at most 11 of them believe that getting vaccinated against COVID-19 will result in the inability to have children. Round your answer in four decimal places.
4. Demonstrate how to compute and then interpret the probability between 8 and 15 (including 8 and 15) of them believe that getting vaccinated against COVID-19 will result in the inability to have children. Round your answer in four decimal places.

Please explain every step