On Monday we'll continue to talk about simulations...we'll go over our homework questions, then we'll write down tons of vocabulary. Moving forward from there, we'll start to do some AP problems and wrap up the chapter as we move toward midterms!
Tonight, please complete the following in your textbook:
Page 268: 23, 25, 29
- For 23, you have lots of categories to represent with random numbers; try to find the % of cards that represent each category ($200, $100, $50, $20, for instance, 10 out of 100, or 10% of cards will say "$200."
- For a "stopping rule," remember that the store is going to give away this money until the total is more than $500...
- For 25, look at Monday's notes!
- This is a similar context, but our stopping rule will be different. This family isn't having kids until they have 1 girl, they're having kids until they have 1 of each gender...
- For 29, the percentages are given (make/miss a shot)
- In this problem, our player takes 20 shots per game. This means that each trial will need to show "20 shots," or 20 random numbers.
- Your job is to see if she makes 6 shots in a row out of these 20 shots.
- Then, repeat (4 more times for 5 trials).
- What is the probability that she makes six shots in a row (if she takes 20 shots)?
1.) We are not necessarily using the same random numbers.
2.) We are only conducting 5 trials. The more trials we conduct, the closer our answer will be to the "true answer." That is, if you do 20 trials instead of 5, your answers will be closer to the back of the book. The more trials to you do, the closer your answers will be.
#13 Comments:
- We did not have time in class (today) to go over #13; this is a tricky question! A few comments...
- In #13, we are simulating a person taking a 6 question multiple choice test; this means that each trial should include 6 questions, or 6 random numbers
- So, we want to generate 6 numbers, and then see--"Did you get all of the questions right? Yes or No?" So our response variable in this case (Record...) is not a number, but whether or not we got all of the questions right
- Then, in our conclusion, we want to find the probability that we get all 6 questions right. How many times (in your simulation) were all 6 right (out of 5 trials)? This will give us a probability
- For #13 we do not need to record the number correct or wrong, or how many we had to answer to get one right or wrong...again, we are always generating 6 numbers and checking to see whether all 6 questions were "correct."
Have an awesome weekend!
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