Crime incidents by quarantine violators. On June 10, 2020, CNN Philippines reported that the Philippine National Police (PNP) said that incidents of crime had decreased sharply during the country’s community quarantine, which lasted for 84 days. Concurrently, the Joint Task Force COVID Shield reported that a total of 193,779 quarantine violators had been warned, fined, or arrested. About 65.05% of them were from Luzon. Consider a random sample of 500 quarantine violators.

a. Compute m and s for the random variable x, the number of quarantine violators who are from Luzon.

b. From the sample of 500 quarantine violators, is it likely that less than half are not from Luzon? Explain. Applying the Concepts–Advanced