AP Statistics
Miscellaneous
Name: ______________
Date: _______________
Chapter 7: Random Variables
Objectives
Here is a list of the most important skills that you should acquire from your study
of this chapter. By the end of this chapter, You Will Be Able To:
Lesson 7.1:
A:
B:
C:
Recognize and define a discrete random variable, and construct a probability
distribution table and a probability histogram for the random variable.
Recognize and define a continuous random variable, and determine probabilities of
events as areas under density curves.
Given a Normal random variable, use the standard Normal table or a graphing
calculator to find probabilities of events as areas under the standard Normal distribution
curve.
Lesson 7.2:
D:
E:
F:
G:
A: Discrete Random Variables
B: Continuous Random Variables
A: Mean and Variance of a Random Variable
B: The Law of Large Numbers
C: Mean and Variance of a Linear Transformation of a
Random Variable
D: Mean and Variance of a Linear Combination of Random
Variables
Calculate the mean and variance of a discrete random variable. Find the expected
payout in a raffle or similar game of chance.
Use simulation methods and the law of large numbers to approximate the mean of a
distribution.
Calculate the mean and variance of a linear transformation of a random variable.
Calculate the mean and variance of a linear combination of random variables.
Vocabulary
Here is a list of the most important vocabulary that you should master.
For each vocabulary term, define it in your words on an index card.
Include a picture and/or diagram that you can associate with the term.
Lesson 7.1A:
Lesson 7.1B:
random variable
discrete random variable
probability distribution
probability histogram
continuous random variable
density curve
Lesson 7.2A:
Lesson 7.2B:
mean of a discrete random variable
variance of a discrete random variable
Law of large numbers
Lesson 7.2C:
Mean of a linear transformation of a random variable
Variance of a linear transformation of a random variable
Lesson 7.2D:
Mean of a linear combination of random variables
Variance of a linear combination of random variables
Homework Assignments
Lesson
Pages
Problems
Show
WORK
GRAPH on
Graph Paper
7.1A
#2-5
#3,5
#4
#8-10
#9
#12,13,16-18,
20,22
#24-28, 30
#12,13,16-18,
20,22
#24,26,27,28
7.2B
Law Large #s
7.2C
a+bX
Read pp. 465-469
Prob. pp. 470
Read pp. 471-475
Prob. pp. 475-476
Read pp. 476-477
Prob. pp. 477-480
Read pp.481-486
Prob. pp.486-487
Read pp. 487-490
Prob. pp. 491-492
Read pp.493-497
Prob. pp.491-507
7.2C
X+Y
7.2C
X+Y Normal
Read pp.493-497
Prob. pp.499-508
Read pp. 497-498
Prob. pp.500-507
7.1B
7.1 Review
7.2A
#32,33,34
#47,60,
38,39,
55-57
#40,41,45,
49,64
#51,58,
42,50,52,59
#47,60
#40,41,45,
64
#51,58,
42,50,52,59
#12,17