Purchase Behavior for Big-Screen Televisions
Planned To Purchase
In the above table, households are
classified according to whether they planned to purchase and whether
they actually purchased big-screen televisions. Draw the Decision Tree
for this example.
Purchase Behavior Regarding Plasma Screen Televisions and DVR.
Purchased Plasma Screen
Not Plasma Screen
Using the cross-classified data above, construct the decision tree.
Use your Decision Tree to find the probability that a household
purchased a DVR, given that the household purchased a plasma-screen
(Note: the probability formulas for question 2 are listed below)
The probability of A given B is equal to the probability of A and B divided by the probability of B.
P(A/B) = P(A and B)/P(B)
The probability of B given A is equal to the probability of A and B divided by the probability of A.
P(B/A) = P(A and B)/P(A)
P(A and B) = joint probability of A and B
P(A) = marginal probability of A
P(B) = marginal probability of B
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