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
1. 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…