AP
Stat Unit 4: Discrete and Continuous
Random Variables
Chapter 7:
Random Variables
Chapter 8:
Binomial & Geometric Distributions
The central idea of Chapter 7 is that Random Variables are those which randomly take on certain values according to some known scheme such as a probability table (discrete random variables) or density curve (continuous random variables), and that based on that scheme we can find the mean and variance of the random variable. The mean is also called the Expected Value of the variable.
Chapter 8 looks at two important random variable distributions: Binomial and Geometric. Both cases involve situations where there are only two possible outcomes, so they are often called success and failure. The binomial distribution gives the probability of achieving a given number of successes in a specific number of trials. The geometric distribution gives the probability of achieving the first success in a specific number of trials.
|
Date |
Section |
Topic |
|
Problems |
|
12/12 |
Discuss test; Calculator skills on project |
|
||
|
12/13 |
Discrete Random Variables |
367-373 |
1-3 |
|
|
13/14 |
Continuous Random Variables |
374-378 |
4-5 |
|
|
12/15 |
Work Day |
380 |
7, 9, 11, 13, 14 |
|
|
1/2 |
The Mean of a random variable |
385-394 |
17-19, 21-23 |
|
|
1/3 |
The Variance of a random Variable |
398-399 |
27-28 |
|
|
1/4 |
Combining two random variables: mean & variance |
395-396 399-402 |
24, 25, 26 |
|
|
1/5 |
Work day: Classwork problems 29-33 |
403-406 |
34, 35, 37, 42 |
|
|
1/8 |
Binomial Probability: Finding PDF on calculator |
416-420 |
1-4, 5(a-d) |
|
|
1/9 |
Binomial PDF by formula Binomial CDF on calculator and from PDF table |
421-427 |
5(e), 8-10 |
|
|
1/10 |
Binomial simulations Mean & Std Dev of a binomial random variable |
428-430 |
11, 15 |
|
|
1/11 |
Practice day: Classwork problems 19-23 |
432 |
Finish 19-23 |
|
|
1/12 |
Geometric Probability: PDF & CDF |
434-441 |
24-26 |
|
|
1/16 |
The mean of a geometric random variable |
441-443 |
27-29 |
|
|
1/17 |
|
Work day: Classwork problems 30-34 |
443-447 |
37, 39, 41, 45 |
|
1/18 |
|
Project work time in class |
|
Work on project |
|
1/19 |
|
Project work time in class |
|
PowerPoint due Sunday |
|
1/22 |
|
Project Presentations |
|
Project paper due today |
|
1/23 |
|
Project Presentations |
|
|
|
1/24 |
|
No Meeting |
|
|
|
1/25 |
Per 3 |
Unit 4 Test: Chapters 7 & 8 |
|
|
|
1/26 |
Per 1/2 |
Unit 4
Test: Chapters 7 & 8 |
|
|