Probabilities The Prior Probabilities for Two Events A₁ and A₂ Are

question 161

Essay

Probabilities
The prior probabilities for two events A₁ and A₂ are P(A₁)= .30 and P(A₂)= .70.It is also known that P(A₁ and A₂)= 0.Suppose P(B / A₁)= .15 and P(B / A₂)= .05.
Are A₁ and A₂ mutually exclusive? Explain.

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Definitions:

Business Organization

An entity formed with the purpose of conducting commercial activities, such as corporations, partnerships, and sole proprietorships.

Democratic Validation

The process of confirming or legitimizing decisions or actions through democratic methods, such as voting or consensus.

Community Standard

Refers to the moral, ethical, or legal expectations that are generally held by a community or society.

Preserve Social Order

Efforts or measures taken to maintain societal norms and regulations, ensuring the smooth function and stability of a community or society.