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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A table of joint probabilities is shown below,regarding the instructors at the University of Michigan,where the events Ai(i = 1,2,3)and Bj (j = 1,2)are defined as follows: A1 = Full professor,A2 = Associate professor,A3 = Assistant professor,B1 = Male instructor,and B2 = Female instructor.
THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A table of joint probabilities is shown below,regarding the instructors at the University of Michigan,where the events A<sub>i</sub>(i = 1,2,3)and B<sub>j</sub> (j = 1,2)are defined as follows: A<sub>1</sub> = Full professor,A<sub>2</sub> = Associate professor,A<sub>3</sub> = Assistant professor,B<sub>1</sub> = Male instructor,and B<sub>2</sub> = Female instructor.    -Calculate P(A<sub>1</sub> ∣ B<sub>1</sub>).
-Calculate P(A1 ∣ B1).


Definitions:

Decision Making

The cognitive process of selecting a course of action from multiple alternatives.

Economist

A professional who studies, teaches, or practices economics, the science concerned with the production, distribution, and consumption of goods and services.

Stroop Effect

A phenomenon demonstrating the cognitive interference where the brain's reaction time slows down when it needs to deal with conflicting information.

Color Names

Labels assigned to specific wavelengths of light perceived visually.

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