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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:

Costs of Treatments

The financial expenses associated with medical care, including diagnostic tests, medication, therapy, and hospital stays.

Insurance

A financial arrangement providing protection against potential financial losses or expenses, such as medical bills or property damage.

GDP

Stands for Gross Domestic Product, which measures the total value of all goods and services produced over a specific time period within a country's borders.

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