Use Bayes's Rule to Find the Indicated Probability

question 66

Multiple Choice

Use Bayes's rule to find the indicated probability.
-34% of the workers at Motor Works are female, while 61% of the workers at City Bank are female. If one of these companies is selected at random (assume a 50-50 chance for each) , and then a worker Is selected at random, what is the probability that the worker is female, given that the worker Comes from City Bank?

• A)0.17
• B)0.207
• C)0.305
• D)0.34

---

Definitions:

Gibbons v. Ogden

A landmark 1824 U.S. Supreme Court case that ruled the power to regulate interstate commerce was granted to Congress by the Commerce Clause of the Constitution.

Interstate Commerce

The exchange, movement, or transfer of goods and services across state lines within the United States.

National Government Supremacy

The principle that the federal or national government has predominant power and authority over regional or state governments, especially in legislative matters.

Commerce Among States

The regulation of trade and business across state lines, often governed by federal law in contexts such as the United States.