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The COVID-19 pandemic and its containment measures have led to involuntary job loss and massive reduction in economic activities. Survey data if a small local
The COVID-19 pandemic and its containment measures have led to involuntary job loss and massive reduction in economic activities. Survey data if a small local community named Julau shows that 28 out of 60 individuals are currently unemployed due to the pandemic outbreak. As part of the initiatives to boost economic recovery, the government has rolled out an economic stimulus package called Prihatin National Aid- a one-off cash assistance for households and individuals in the lower income groups. Suppose that 15 individuals of the Julau community are randomly selected to received the Prihatin National Aid package.What is the probability that 9 package recipients are unemployed? What is the probability that at least 12 package recipients are unemployed? What is the probability that 3 or fewer package recipients are unemployed? Calculate the expected value, the variance, and the standard deviation for the package recipients who are unemployed. Another local community of the same population size named Bario is in greater need of financial assistance due to its high poverty incidence. Suppose that the government decides to help the Bario community by randomly selecting 25 individuals to receive the Prihatin National Aid package. What is the expected number of package recipients who are unemployed if 12 individuals of the Bario community are still having a job
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