According to data from the Community of Madrid, in the 2021-2022 season the coverage of the flu vaccine among people over 65 years old was 73.2%. a) ( 1.5 points) In the face of an epidemic outbreak situation, the authorities decide to restrict those gatherings in which the probability that there is more than one unvaccinated person is greater than 0.5. Assuming that attendees at a gathering constitute a random sample, should gatherings of 5 people over 65 years old be restricted? And gatherings of 7 people over 65 years old? b) ( 1 point) A random sample of 500 people over 65 years old is taken. Calculate, approximating by the appropriate normal distribution, the probability that at least 350 of them are vaccinated against the flu.
According to data from the Community of Madrid, in the 2021-2022 season the coverage of the flu vaccine among people over 65 years old was 73.2%.
a) ( 1.5 points) In the face of an epidemic outbreak situation, the authorities decide to restrict those gatherings in which the probability that there is more than one unvaccinated person is greater than 0.5. Assuming that attendees at a gathering constitute a random sample, should gatherings of 5 people over 65 years old be restricted? And gatherings of 7 people over 65 years old?
b) ( 1 point) A random sample of 500 people over 65 years old is taken. Calculate, approximating by the appropriate normal distribution, the probability that at least 350 of them are vaccinated against the flu.