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
Question 1
Planned to
purchase
Big screen
television
Did Not
plan to
purchase
Actually
purchased
Did not
purchase
Actually
purchased
Did not
purchase
QUESTION 2
purchased
DVR
purchased
Did not…