Consider a Decision Making Problem with Three States of Nature

question 37

Multiple Choice

Consider a decision making problem with three states of nature: S1, S2, and S3, for which P(S1) = .1 and P(S2) = .3.Suppose also that there are two possible sample indicators, I1 and I2, and the following conditional probabilities hold: P(I1|S1) = .2, P(I1|S2) = .4, and P(I1|S3) = .6.The P(S2|I2) is:

• A).18
• B).24
• C).36
• D).50

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Definitions:

Self-respect

A sense of personal worth and dignity, which reflects an individual's valuation of themselves and their actions in a moral or ethical context.

Self-efficacy

An individual's belief in their own ability to complete tasks and reach goals.

Self-concept

An individual's perception and understanding of themselves, encompassing self-image, self-esteem, and the roles they perceive themselves to play.

Childhood

The period of life from birth until adolescence, marked by growth, learning, and play.