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:

Bereaved Child

A child who has experienced the death of a close family member or friend, which can significantly impact their emotional and psychological well-being.

Euphemisms

Mild or indirect words or expressions substituted for ones considered harsh or blunt when referring to something unpleasant or embarrassing.

Early Adulthood

A life stage spanning from approximately 20 to 40 years of age, marked by pursuits such as higher education, career establishment, and forming long-term relationships.

Mercy Killing

The act of killing a person or animal who is suffering from a terminal illness or condition, often to relieve them of pain; also known as euthanasia.