Page 382-384: 6, 23, 27ab, 31bc, 33abd
- Use today's notes and the Pythagorean Theorem of Statistics (VARIANCES ALWAYS ADD!) with 23, 27, 31, and 33
- For 23 you are practicing your "shifting/rescaling" and "combining random variables" skills...
- For example, "3X" would mean we're multiplying each outcome for variable X by 3--your job is to find the new mean and standard deviation
- If a question says "X1 + X2," this means we're adding these two random variables, and need to find the mean and standard deviation based on today's notes
- For #6 we assume that a person will stop playing if/when they win the prize
- *For 6b and 6c you'll need two different probability models--part (a) is asking you to create these...
- 6b asks for the expected number of darts thrown, so we need a model with the "outcomes" as "# of darts thrown"
- 6c asks for the expected winnings, so we need a model for the "winnings
- Answers to #6:
- 6a.) # darts = 1, 2, 3, 4; probabilities = 0.10, 0.09, 0.081, 0.729
- 6a.) amount won = $95, $90, $85, $80, $-20; probabilities = 0.10, 0.09, 0.081, 0.073, 0.656
- 6b.) 3.44 darts (use the model for the # darts thrown)
- 6c.) $17.20 (use the model for the amount won)
Monday's HW (these questions are also on the worksheet you took in class):
Page 383-384: 33, 37, 38
- On Monday we'll extend our thinking and start to apply the Normal model...
- These questions require us to use what we learned today to find a new mean and standard deviation (after we combine random variables), and then apply the Normal model!
- Feel free to try to figure these out and get a head start on Monday's hw! You got this
- Check out the "Step by Step: Packaging Stereos" example on pages 376-378 for an example of these types of problems!
Here's the plan for the rest of the unit(and what happened today):
- Friday (12/14): Chapter 16 Notes/Examples: Combining Random Variables
- Stamp = Shifting Rescaling Practice (question below--do this if you were out!)
- Each outcome for a random variable has been transformed by multiplying by 5 and then subtracting 10. If the original probability model resulted in an expected value of 8 and a variance of 9, what are the expected value and variance after the transformation?
- Vocab: Discrete v. Continuous Random Variables
- Pythagorean Theorem of Statistics!
- Looked at how we combine random variables -- we used our "middle right slide" about the costs of vet visits for cats and dogs! (get these notes from a classmate)
- Monday (12/17): Chapter 16 Notes/Practice: More Combining Random Variables and applying the Normal Model
- Tuesday (12/18): Chapter 14-16 Wrap Up, Questions, Practice
- Wednesday (12/19): Chapter 14-16 Probability Test
- Thursday (12/20): Chapter 14-16 Vocab Test (20 min), then Chapter 17 intro notes
- Friday (12/21): More Chapter 17 Notes (binomial and geometric probability)
- There will be a take home assignment over break! It will either be....
- Take Home Test (review of everything!)
- "Teaching Yourself Chapter 13" Assignment
No comments:
Post a Comment