You Are Given the Following Payoff Table $\mid$ S₁) = 0 $\mid$

question 46

Essay

You are given the following payoff table. Assume the following probability information is given.
P(S₁) = 0.45
P(I₁ $\mid$ S₁) = 0.7
P(I₂ $\mid$ S₁) = 0.3
P(S₂) = 0.55
P(I₁ $\mid$ S₂) = 0.6
P(I₂ $\mid$ S₂) = 0.4
a.Find the values of P(I₁) and P(I₂).
b.Determine the values of P(S₁ $\mid$ I₁), P(S₂ $\mid$ I₁), P(S₁ $\mid$ I₂), and P(S₂ $\mid$ I₂).
c.Use the decision tree approach and determine the optimal strategy. What is the expected value of your solution?

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Definitions:

Elaboration Likelihood Model

A theory in social psychology that explains two routes of persuasion: the central route for people highly involved in the content, and the peripheral route for less engaged audiences.

Internal Locus Of Control

The belief that one has control over their own life and outcomes, rather than external forces having that control.

Social Pressure

The influence exerted by society on individuals to adopt certain behaviors, norms, or attitudes.

Social Constraints

The limitations or pressures exerted by societal norms and expectations on an individual's behavior.