In: Statistics and Probability
Exhibit 2:
Current statistics show that, about 5% of the patients who are infected with the Novel Coronavirus are in serious or critical condition, and need ventilators and oxygen facilities. Suppose this is the population proportion. (The questions related to this Exhibit are designed so that you can see how statistical analyses can be used to fight against pandemics.)
1. Refer to Exhibit 2. Assume that in the City of Gotham, in the first week of outbreak, 256 citizens are tested positive for COVID-19. At least how many ventilators should be prepared to meet the possible demand. (Round up to the nearest integer that is larger than the result.)
2. Refer to Exhibit 2. Suppose the No. 1 district of the City of Gotham has 8100 residents living in it. If you were the head of the health department of the No. 1 district. To cope with the possible all-infection outbreak of COVID-19 in your district, you prepared 600 ventilators. Assuming in the worst case scenario, what is the probability that your prepared medical equipments are overwhelmed by the serious conditioned patients who are in need of the ventilators? (Round up to nearest four decimal place.)
3. Refer to Exhibit 2. Suppose the No. 1 district of the City of Gotham has 8100 residents living in it. If you were the head of the health department of the No. 1 district. To cope with the possible all-infection outbreak of COVID-19 in your district, you prepared 600 ventilators. Assuming in the worst case scenario, what is the probability that your prepared medical equipments are overwhelmed by the serious conditioned patients who are in need of the ventilators? (Round up to nearest four decimal place.)