THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 289

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.

-Calculate the marginal probabilities of events A_i.

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Definitions:

Continuous-Process Technology

Systems or technologies that produce goods or services in an uninterrupted flow, often seen in industries like chemicals or power generation.

Considerable Automation

The significant use of machines or digital technologies to perform tasks that were traditionally done by humans.

Environmental Turbulence

The rate and magnitude of change that an organization faces from external sources.

Degree of Richness

The extent to which a medium allows for immediate feedback, conveys multiple cues, and supports the use of natural language.