Computer Science homework help

ITS-632 Intro to Data Mining

 

Dept. of Information Technology &

School of Computer and Information Sciences

University of the Cumberlands

 

Week 5 Assignment

 

[Your Name Here]

 

Decision Tree Assignment
Play now?  Play later?
You can become a millionaire!  That’s what the junk mail said.  But then there was the fine print:
If you send in your entry before midnight tonight, then here are your chances:
	0.1% that you win $1,000,000
	75% that you win nothing
	Otherwise, you must PAY $1,000
But wait, there’s more!  If you don’t win the million AND you don’t have to pay on your first attempt,
then you can choose to play one more time.  If you choose to play again, then here are your chances:
	2% that you win $100,000
	20% that you win $500
	Otherwise, you must PAY $2,000
What is your expected outcome for attempting this venture?  Solve this problem using
a decision tree and clearly show all calculations and the expected monetary value at each node.
Use maximization of expected value as your decision criterion.
Answer these questions:
1) Should you play at all? (5%)  If you play, what is your expected (net) monetary value? (15%)
2) If you play and don’t win at all on the first try (but don’t lose money), should you try again? (5%) Why? (10%)
3) Clearly show the decision tree (40%) and expected net monetary value at each node (25%)