THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 231

Essay

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_i(i = 1,2,3)and B_j (j = 1,2)are defined as follows: A₁ = Full professor,A₂ = Associate professor,A₃ = Assistant professor,B₁ = Male instructor,and B₂ = Female instructor.

-Show that P(A₁ ∣ B₁)+ P(A₂ ∣ B₁)+ P(A₃ ∣ B₁)= 1

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Definitions:

Labor Force

The total number of people employed or seeking employment in an economy.

Change To Win

Change to Win is a partnership of American labor unions aiming at revitalizing the labor movement and bringing economic justice to workers through organizing and advocacy.

Recruiting

The process of finding, attracting, and hiring suitable candidates for jobs within an organization, often involving diverse strategies and tools.

Labor Union Membership

The number of workers enrolled in labor unions, organizations that advocate for their interests.