Consider a Decision Situation with Four Possible States of Nature

question 1

Essay

Consider a decision situation with four possible states of nature: s1, s2, s3, and s4. The prior probabilities are P(s1) = 0.35, P(s2) = 0.15, P(s3) = 0.20, P(s4) = 0.30. The conditional probabilities are P(C|s1) = 0.2, P(C|s2) = 0.09, P(C|s3) = 0.15, and P(C|s4) = 0.20. Find the revised (posterior) probabilities P(s1|C), P(s2|C), P(s3|C), and P(s4|C).

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Definitions:

Mass Medium

A means of communication that reaches large numbers of people, such as television, radio, newspapers, and the internet.

1950s

The decade spanning from January 1, 1950, to December 31, 1959, often noted for its economic prosperity and emergence of distinct cultural norms in the post-World War II era.

Mass Media

Refers to diversified collections of media technologies that reach a large audience via mass communication.

Impersonal Audience

A broad, undifferentiated group of people to whom communication is directed, without a personal connection or identification.