Lab 3 - Dealing with Uncertainty

This lab is worth 10 points.
Due: Friday January 25, 2008 at 5pm

The FORECAST model used in the book only covered one possible combination of input: today is rain, rainfall is low, temperature is cold and sky is overcast. There are other valid combinations that are not explored. For this lab, we will look at another valid combination and see how the Bayesian system differs from the certainty factor system.

Part 1: Bayesian system

The 6 rules for the full Bayesian version of FORECAST are listed on page 69 of the second edition of the book. Using the same dialogue interface given on pages 70 and 71, trace the probabilities for the following user responses:
What is the weather today?
=> dry

What is the temperature today?
=> warm

What is the cloud cover today?
=> overcast

Part 2: Certainty Factor system

The 6 rules for the certainty factor version of FORECAST are given on pages 80 and 81. Again, we will use the dialog from the book and the above responses. However, we also have to prompt the user for the certainty in each piece of evidence. Trace the probabilities for the following user responses:
What is the weather today?
=> dry

What is the temperature today?
=> warm
To what degree do you believe the temperature is warm?
=> 0.8

What is the cloud cover today?
=> overcast
To what degree do you believe the sky is overcast?
=> 0.9

Write-Up

Turn in your traces for each system. Show all steps used to derive the probabilities (such as first calculating the odds for the Bayesian model). You may either email the write-up or turn in a hard copy.