A Poll Released This Week Found That in a Random

question 41

Short Answer

A poll released this week found that in a random sample of registered voters, 60% indicated that they think a female "will run" for the presidency, 30% said a female "will not run," and 10% had "no opinion." When asked their opinions on whether or not a female would be elected, 66% of those who said a female "will run" thought she could be elected; 25% of those who thought a female "will not run" thought she could be elected; whereas, 20% of those who had no opinion said that she could be elected.
a.What percentage of registered voters (in this sample) thought that a female could be elected?
b.Given that a person thought that a female could be elected, what is the probability that this person said a female "will not run" for the presidency?
c.Compute all the posterior probabilities.

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Definitions:

Sterile Gloves

Medical gloves that have been treated to eliminate all microorganisms, used to prevent contamination during medical procedures and surgeries.

Water-seal Chest Drainage Unit (CDU)

A medical device used to remove air, pus, or fluid from the pleural space to prevent lung collapse, using a water seal to prevent backflow.

Hygiene Care

Practices aimed at maintaining cleanliness and promoting health through personal grooming and environmental cleanliness.

RSV

Respiratory Syncytial Virus, a common virus that causes respiratory infections, especially in young children.