- This assignment gets us thinking about how we might develop a casino game and determine what to charge people and/or what prizes we might assign!
- The hardest part may be calculating the probabilities for the probability model (#1)....
- Remember, we are going to play a game twice...
- Each time we play the game we can earn 0, 1 or 2 points (in one play)
- The "outcomes" in the table are the "sums," or how many points we earn (total) in the two games combined
- Think: how could we have a sum of, say, 3?
- How many points would we get on the first play? And on the second?
- Or, what's another way--what could we get on the first? And on the second?
- Here are the correct probabilities for your model so you can check, and/or so you can use these to complete the rest of the assignment.
- (of course you have to figure out how to find all of these):
- P(sum = 0): 0.16
- P(sum = 1): 0.24
- P(sum = 2): 0.33
- P(sum = 3): 0.18
- P(sum = 4): 0.09
- For #5 you should get an expected value of $153 if you allot the prize amounts correctly
- On the back:
- These are the same sums from the front, so the probabilities are the same...
- Now we want to think about making this a gambling game--your job is to decide which prize amount goes with which sum.....
Tomorrow in class we'll move on to the second half of chapter 16--combining random variables! See you there!
Here's the plan for the rest of the week (and what happened today):
- Wednesday (12/12)
- Stamp: Pinball Wizard
- Practice finding expected value and standard deviation with calculator
- Interpreting and using expected value
- HW Questions
- Classwork: Pinata Free Response (more practice!)
- Thursday (12/13): Chapter 16 Notes/Examples: Combining Random Variables
- Friday (12/14): Chapter 16 Notes/Examples: Combining Random Variables
- Monday (12/17): Chapter 16 Wrap-Up Notes/Practice: Combining Random Variables
- Tuesday (12/18): Chapter 14-16 Review, Questions, Practice
- Wednesday (12/19): Chapter 14-16 Probability Test
- Thursday (12/20): Chapter 14-16 Vocab Test (20 min), then Chapter 17 notes
- Friday (12/21): More Chapter 17 Notes
- There will be a take home assignment over break! It will either be....
- Take Home Test (review of everything!)
- "Teaching Yourself Chapter 13" Assignment
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