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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>2</sub> ∣ B<sub>1</sub>).
-Calculate P(A2 ∣ B1).


Definitions:

Commitment

The dedication or pledge to carry out a task or adhere to a plan or agreement.

Positive Project Story

An optimistic narrative about a project, focusing on successes and positive outcomes.

Positive Outcome

A beneficial result or effect of an action, decision, or process, often meeting or exceeding the initial goals or expectations.

Identifying

The process of recognizing and acknowledging specific elements, risks, or opportunities within a project or business context.

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