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Refer to the following for Questions 1-6: Receiving a flu vaccination has been recommended by the DC Department of Health and has been proven to

Refer to the following for Questions 1-6:

Receiving a flu vaccination has been recommended by the DC Department of Health and has been proven to reduce the risk of contracting the flu. However, not everyone receives the vaccination. Imagine there is a 60% chance that a randomly selected individual has been vaccinated. In addition, imagine the likelihood that a randomly selected individual is a carrier of the flu is 30%. Suppose the probability of being a carrier and being vaccinated is 20%.

  1. What is the probability that a randomly chosen individual is a carrier of the flu and not vaccinated?
  2. What is the probability that a randomly chosen individual is not a carrier of the flu and is vaccinated?
  3. What is the probability that a randomly chosen individual is neither a carrier nor vaccinated?
  4. What is the probability that a randomly chosen individual is a carrier of the flu given that they are vaccinated?
  5. What is the probability that a randomly chosen individual is not a carrier of the flu given that they are not vaccinated?
  6. Is coronavirus independent of flu vaccination?

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