Part I: Construct a probability tree
Using the dog breed data posted in google classroom first build the following:
- Use the COUNTIFS function to complete the contingency table that is embedded within the dog breed data set
- Use the contingency table you just constructed to calculate the marginal, conditional, and joint probabilitities associated with each possible combination of dog intelligence and friendliness.
- Use the probabilities you constructed to draw out a probability tree, and be sure to clearly label the marginal, conditional, and joint probabilities.
Part II: Analyze the probability tree
Consider the probability tree you just constructed.
- Does it seem like there is a relationship between how intelligent a dog is and how friendly a dog is? Does the intelligence of a dog seems to effect the probability it will rarely be friendly?
- How did the probability tree you constructed make the different probabilities more readible?