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A Poll Released This Week Found That in a Random

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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.


Definitions:

Salaries and Wages

Compensation paid to employees for their services, including both regular salary and hourly wages.

Expenses

The outflows or consumption of assets or incurring/liabilities (creating a liability) from a company's operations aimed at generating revenue.

Revenue

The total income generated from normal business operations, including sales of goods and services before any expenses are subtracted.

Withdrawals

The removal of funds from a bank account or the taking out of cash or assets from a business by its owner for personal use.

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