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Probabilities The Prior Probabilities for Two Events A1 and A2 Are

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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.
-Apply Bayes' theorem to compute P(A2 / B).


Definitions:

Immigration

The action of coming to live permanently in a foreign country.

Office Of Immigration Statistics

A government entity responsible for collecting, analyzing, and disseminating statistical data and reports on immigration including the movements and characteristics of migrants.

Legal Permanent Residents

Individuals who have been granted the right to live indefinitely within a country other than their native one, without being its citizen.

Permanent Legal Residents

Individuals who have been granted the right to live indefinitely within a country but are not citizens of that country.

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