Page 382: 17, 21, 33, 37
- Questions 17 and 21 deal with expected value and standard deviation, and creating a probability model--some of the stuff we learned about earlier this week
- Questions 33 and 37 deal with combining random variables and the Pythagorean Theorem of Statistics (Friday's notes)
- This also brings back the Normal model! 37 is tough! Do your best and use the answers from the back to figure it out (if you need to)!
Vocab Quiz Monday (Chapter 16):
- Expected value
- Variance
- Probability model
- Random variable
- Discrete random variable
- Continuous random variable
- Standard deviation
- Shifting
- Rescaling
- Pythagorean theorem of statistics
Finally, if you did not complete Thursday's homework (see the blog post below if you need it) you can show me Monday! Do it!
- For question 1 we need to use the Normal model--thus, z-scores and normalcdf(-- to find these probabilities
- Look at your chapter 6 notes, or we reviewed the Normal model with some notes (about IQ's or SAT's) earlier this week!
- You'll need to use normalcdf( to find the probability a student scores under 60, between 60 and 80, between 80 and 90, and over 90
- For example, to find the probability a student scores between 60 and 80, I find the z-score for 60 and 80 (they come out to be z = -2.5 and z = 0.83)
- Then, I use normalcdf to find the probability: normalcdf(-2.5, 0.833) = 0.7915
- This is all review for our exam! Figure it out!
- Question 2 then gets into the "new stuff," finding expected value and the standard deviation (of the probability model)
- For question 2, the probabilities are what you calculated in #1!
- The probabilities should be:
- Under 60 = $0: 0.00621
- Between 60 and 80 = $50: 0.7915
- Between 80 and 90 = $100: 0.19612
- Over 90 = $200: 0.00621
- Always make sure your probabilities sum to 1!
- For the remainder of the questions, it's all "new stuff" from this week (chapter 16)!
- Use your notes to figure it all out!
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