Use Bayes's Rule to Find the Indicated Probability

question 36

Multiple Choice

Use Bayes's rule to find the indicated probability.
-A person must select one of three boxes, each filled with clocks. The probability of box A being selected is 0.33, of box B being selected is 0.17, and of box C being selected is 0.5. The probability of Finding a red clock in box A is 0.2, in box B is 0.4, and in box C is 0.9. A box is selected. Given that
The box contains a red clock, what is the probability that box A was chosen?

• A)0.066
• B)0.33
• C)0.133
• D)0.113

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Definitions:

Senior-Level Manager

An executive position within an organization responsible for making high-stake decisions and overseeing significant portions of the company’s operations or departments.

Educational Attainment

The highest educational level attained by an individual worker, employee group, or population.

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Authority that allows staff experts to make decisions and take actions normally reserved for line managers.

Line Managers

Supervisors or managers directly responsible for overseeing the work of front-line employees and ensuring the daily operations align with the organization's goals.