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Normal Distribution Probability Calculation

Learn how to calculate the probability of a random variable falling within a specific range in a normal distribution, using z-scores. Practice determining the percentage of values between two given points in a normal distribution. Solve problems involving mean, standard deviation, and probability calculations.

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Questions and Answers

What is the formula for Expected Value of Perfect Information (EVwPI)?

EVwPI = (Probability of State of Nature × Maximum Payoff under Perfect Information) / Expected Payoff Value

In the context of the provided text, what does Maximax refer to?

Optimistic decision – highest possible gain

What is the Expected Value of Perfect Information (EVPI) in the scenario discussed?

P60,000

Under the Maximin approach, what decision is typically made?

<p>Least possible loss</p> Signup and view all the answers

What is the Hurwicz Criterion known for?

<p>Compromise between optimism and pessimism</p> Signup and view all the answers

How is Expected Opportunity Loss (EOL) calculated in the given scenario?

<p>(0.5 x 100,000) + (0.5 x 20,000)</p> Signup and view all the answers

Which decision-making strategy is based on maximizing the potential gains?

<p>Maximax</p> Signup and view all the answers

What is the primary objective of Expected Value of Perfect Information (EVPI)?

<p>Maximize potential gains</p> Signup and view all the answers

Based on the text, which approach helps in making a 'balanced' decision between an optimistic and a pessimistic one?

<p>'Hurwicz Criterion'</p> Signup and view all the answers

'Criterion of realism' according to Hurwicz involves what kind of decision-making?

<p>'Compromise between optimistic and pessimistic'</p> Signup and view all the answers

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