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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> ∣ A<sub>2</sub>).
-Calculate P(A1 ∣ A2).


Definitions:

Religious Conversion

The adoption of a new religious belief that is different from one's previous beliefs, often involving a significant change in worldview and lifestyle.

Religious Orientation

An individual's or group's approach to religious belief and practice, ranging from fundamentalism to secularism and including various levels of orthodoxy and engagement.

Theoretical Perspectives

Frameworks or approaches used within a discipline to formulate hypotheses, interpret data, and explain phenomena.

Social Milieu

The social environment or social context in which an individual lives or operates.

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