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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>3</sub> ∣ B<sub>1</sub>).
-Calculate P(A3 ∣ B1).


Definitions:

Dollar Volume

The total value of a particular financial transaction or set of transactions measured in dollars.

Piece Rate

A payment method based on the amount of work completed or units produced, rather than on the amount of time spent on the work.

Clothing Manufacturer

A company that produces clothing items, from the design phase through to production and distribution to retailers.

Quota

A fixed share or a specific quantitative limit of something that one is entitled to or is required to contribute or receive.

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