A Poll Released This Week Found That in a Random

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.