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Suppose that an influenza (Flu) epidemic and the COVID-19 pandemic strikes a city and affected many persons. You took a random sample of 50 individuals

Suppose that an influenza (Flu) epidemic and the COVID-19 pandemic strikes a city and affected many persons. You took a random sample of 50 individuals from the city and found out that, 10 has Flu, 15 has COVID-19, and 5 has both Flu and COVID-19.

What are the two events in this study?
Show whether the two events are independent. Explain
What is the probability that a person randomly selected has influenza or COVID-19?
What is the probability that a person has Flu, but not COVID -19?
What is the probability that a person has COVID-19, but not Flu
What is the conditional probability that a person has Flu given the person does not have COVID-19?
What is the conditional probability that a person has COVID-19 given the person has flu?

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