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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(B<sub>2</sub> ∣ A<sub>1</sub>).
-Calculate P(B2 ∣ A1).


Definitions:

Treasury Stock

Shares that were issued and subsequently reacquired by the issuing corporation, reducing the amount of outstanding stock on the open market.

Cash Dividend

The distribution of some of a company's earnings to its shareholders as determined by the company's board of directors.

Waste Management System

A systematic approach to handling both disposal and recycling of waste materials in an environmentally friendly manner.

Liquidating Dividend

A type of dividend paid by a company to its shareholders from its capital rather than its earnings, often signaling the company is dissolving its assets.

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