Purchase Behavior for Big-Screen Televisions
Purchase Behavior for Big-Screen Televisions
Planned To Purchase | Actually Purchased | ||
Yes | No | Total | |
Yes | 200 | 50 | 250 |
No | 100 | 650 | 750 |
Total | 300 | 700 | 1000 |
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 | Purchased DVR | ||
Yes | No | Total | |
Plasma Screen | 38 | 42 | 80 |
Not Plasma Screen | 70 | 150 | 220 |
Total | 108 | 192 | 300 |
- 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 television.
(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)
Where:
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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Solution: Purchase Behavior for Big-Screen Televisions