A Payoff Table, the Prior Probabilities for Two States of Nature

question 8

Essay

A payoff table, the prior probabilities for two states of nature, and the likelihood probabilities are shown below.
Payoff Table: $\begin{array} { ccc }&\text { Alternative }\\\text { State of Nature }& a_{1} & a_{2} & a_{3}\\s_{1} & 20 & 28 & 33 \\s_{2} & 32 & 29 & 25\end{array}$
Prior Probabilities:
P( $S _ { 1 }$ ) = 0.4, P( $S _ { 2 }$ ) = 0.6.
Likelihood Probabilities: $\begin{array}{ccc} & I_{1} & I_{2} \\s_{1} & 0.95 & 0.05 \\s_{2} & 0.08 & 0.92\end{array}$ a. Determine the EMV decision.
b. Set up the opportunity loss table.
c. Determine the EOL decision.
d. What is the expected payoff with perfect information?
e. What is the expected value of perfect information?

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Definitions:

Invoiced

The process of sending a document to a customer indicating amounts owed for goods or services provided.

Prepaid Insurance

An asset account that represents insurance premiums paid in advance for coverage extending beyond the current accounting period.

Expired Insurance

Insurance coverage that has reached the end of its policy term and is no longer in effect.

Unearned Revenue

Money received by a company for goods or services that have not yet been delivered or performed.