Download AP STATISTICS E05

AP STATISTICS
(SECONDARY)
ESSENTIAL UNIT 5 (E05)
(RANDOM VARIABLES)
(July 2012)
Unit Statement: The student will identify discrete random and continuous random
variables and their characteristics and how to transform and combine random variables.
The student will also explore binomial and geometric random variables and their
characteristics.
Essential Outcomes: (Assessed for Mastery)
1. The Student Will use a probability distribution to answer questions about possible
values of a random variable. [6.1]
2. TSW calculate and interpret in context the mean of a discrete random variable.
[6.1]
3. TSW describe the effects of transforming a random variable by adding or
subtracting a constant and multiplying or dividing by a constant. [6.2]
4. TSW find the mean and standard deviation of the sum or difference of independent
random variables.
5. TSW determine whether two random variables are independent. [6.2]
6. TSW find probabilities involving the sum or difference of independent Normal
random variables. [6.2]
7. TSW determine whether the conditions for a binomial random variable are met in
order to determine whether to compute and interpret probabilities involving
binomial distributions. [6.3]
8. TSW calculate the mean and standard deviation of a binomial random variable and
interpret these values in context. [6.3]
9. TSW find probabilities involving geometric random variables. [6.3]
Suggested Materials:
Text: The Practice of Statistics (4th edition), by Starnes, Yates, and Moore, W. H. Freeman
& Co., 2012.
ISBN-13: 978-1-4292-4559-3, Instructor’s Resource Guide, The Practice of Statistics,
Fourth Edition, 2012,
Graphing Calculator: TI-Nspire™ CX CAS
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AP STATISTICS (SEC) E05
Copyright © 2011-2012
Graphing Technology Guide for Precalculus and Calculus, by Levy, published by
Houghton Mifflin, 2001, ISBN 0-618-07287-X, Publisher’s Code 3-30431
TPS web site
4th edition: http://bcs.whfreeman.com/tps4e
3rd edition: http://bcs.whfreeman.com/tps3e
For practice of AP Statistics Exams, Section II (Free Response), past papers can be
downloaded free from the College Board AP website: http://apcentral.collegeboard.com
From the above webpage, teachers should follow links to the Course Home Page for AP
Statistics. In addition to past papers, this page contains a lot of helpful information about
the course, including the most up-to-date Course Description.
There are vast sources of material for real life activities on websites such as:
AP Central: AP Statistics Course Home Page
http://apcentral.collegeboard.com/apc/public/courses/teachers_corner/2151.html
Rossman and Chance’s java applets
www.rossmanchance.com/applets
ARTIST Assessment Resources
https://app.gen.umn.edu/artist/index.html
NCSSM Statistics Institutes
http://courses.ncssm.edu/math/Stat_Inst/links_to_all_stats_institutes.htm
Jason Molesky’s StatsMonkey Page
http://web.mac.com/statsmonkey/
Larry Green’s statistics review site
http://www.ltcconline.net/greenl/java/index.html#Statistics
Against All Odds video series
http://www.learner.org/resources/series65.html
Statistics video toolkit
http://www.whfreeman.com/catalog/static/whf/statisticsvtk/
Rice Virtual Lab in Statistics
http://onlinestatbook.com/rvls.html
The Data and Story Library
http://lib.stat.cmu.edu/DASL/
Exploring Data: Rex Boggs’ outstanding resources site in Australia
http://exploringdata.net/
CAUSEWeb
http://www.causeweb.org/
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AP STATISTICS (SEC) E05
Copyright © 2011-2012
Assignments:
[6.1] Page 353 - 357
{1, 5, 7, 9, 13, 14, 18, 19, 23, 25}
[6.2] Page 378 – 382
{27-30, 37, 39-41, 43, 45, 49, 51, 57-59, 63}
[6.3] Page 403 - 406
{61, 65, 66, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 93, 95,
97, 99, 101-103}
Chapter 6 Review, Pg. 408 – 409, Chapter 6 Review Exercises
RUBRICS AND PACING CHARTS FOUND ON FOLLOWING PAGES……………….
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AP STATISTICS (SEC) E05
Copyright © 2011-2012
ESSENTIAL UNIT 5 (E05)
RUBRIC
Exploring Data
(JULY 2012)
‘A’ Level Mastery
Uses a probability distribution to answer
questions about possible values of a random
variable.
TSW
#1
[6.1]
TSW
#2
[6.1]
TSW
#3
[6.2]
TSW
#4
[6.2]
TSW
#5
[6.2]
TSW
#6
[6.3]
TSW
#7
[6.3]
TSW
#8
[6.3]
‘B’ Level Mastery
Interprets the mean of a random
variable in context.
Determines whether two random
variables are independent.
Interprets probabilities involving
binomial distributions in context.
Interprets the mean and standard
deviation of a binomial random
variable in context.
TSW
#9
[6.3]
Calculates the mean of a discrete random
variable.
B Level Not
Achieved.
Describes the effects of transforming a
random variable by adding or subtracting a
constant and multiplying or dividing by a
constant.
Finds the mean and standard deviation of the
sum or difference of independent random
variables.
Define independent and dependent variable.
B Level Not
Achieved.
Finds probabilities involving the sum or
difference of independent Normal random
variables.
Determines whether the conditions for a
binomial random variable are met.
B Level Not
Achieved.
B Level Not
Achieved.
B Level Not
Achieved.
B Level Not
Achieved.
Computes probabilities involving binomial
distributions.
Calculates the mean and standard deviation
of a binomial random variable.
B Level Not
Achieved.
Finds probabilities involving geometric
random variables.
B Level Not
Achieved.
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AP STATISTICS (SEC) E05
Copyright © 2011-2012
‘P’ in
progress
B Level Not
Achieved.
AP STATISTICS
RUBRIC FOR
ESSENTIAL UNIT 5 (E05)
Name______________________________________ Date _____________
‘A’ =
‘B’ =
‘IP’ =
To earn an A for the unit, the student will have all of the B’s marked as
well as two or more A’s.
To earn a B for the unit, the student will have all of the B’s marked and
one or no A’s marked.
If even one box in the IP column is marked, the grade is ‘In Progress’
‘A’
TSW 1
TSW 2
TSW 3
TSW 4
TSW 5
TSW 6
TSW 7
TSW 8
TSW 8
Uses a probability distribution to answer questions about possible
values of a random variable.
Calculates the mean of a discrete random variable.
Interprets the mean of a random variable in context.
Describes the effects of transforming a random variable by adding or
subtracting a constant and multiplying or dividing by a constant.
Finds the mean and standard deviation of the sum or difference of
independent random variables.
Defines independent and dependent variables
Determines whether two random variables are independent.
Finds probabilities involving the sum or difference of independent
Normal random variables.
Determines whether the conditions for a binomial random variable
are met.
Computes probabilities involving binomial distributions.
Interprets probabilities involving binomial distributions in context.
Calculates the mean and standard deviation of a binomial random
variable.
Interprets the mean and standard deviation of a binomial random
variable in context.
Finds probabilities involving geometric random variables.
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AP STATISTICS (SEC) E05
Copyright © 2011-2012
‘B’
‘IP’
Unit Pace for Chapter 6
Day
Topics
Objectives: Students will be able to…
Use a probability distribution to
answer questions about possible
values of a random variable.
 Calculate the mean of a discrete
random variable.
 Interpret the mean of a random
variable in context.
Homework

1
Chapter 6 Introduction, 6.1
Discrete random Variables,
Mean (Expected Value) of a
Discrete Random Variable
2
6.1 Standard Deviation (and
Variance) of a Discrete Random
Variable, Continuous Random
Variables, Technology:
Analyzing Random Variables on
the Calculator



3
6.2 Linear Transformations

4
5
6
7
6.2 Combining Random
Variables, Combining Normal
Random Variables

6.3 Binomial Settings and
Binomial Random Variables,
Binomial Probabilities,
Technology: Binomial
Probabilities on the Calculator
6.3 Mean and Standard Deviation
of a Binomial Distribution,
Binomial Distributions in
Statistical Sampling
6.3 Geometric Random
Variables, Technology:
Geometric Probabilities on the
Calculator

8
Chapter 6 Review
9
Chapter 6 Test




Calculate the standard deviation of a
discrete random variable.
Interpret the standard deviation of a
random variable in context.
Describe the effects of transforming a
random variable by adding or
subtracting a constant and multiplying
or dividing by a constant.
Find the mean and standard deviation
of the sum or difference of
independent random variables.
Determine whether two random
variables are independent.
Find probabilities involving the sum
or difference of independent Normal
random variables.
14, 18, 19,
23, 25
27-30, 37,
39-41, 43,
45
49, 51, 5759, 63
Determine whether the conditions for
a binomial random variable are met.
Compute and interpret probabilities
involving binomial distributions.
61, 65, 66,
69, 71, 73,
75, 77
Calculate the mean and standard
deviation of a binomial random
variable. Interpret these values in
context.
79, 81, 83,
85, 87, 89
Find probabilities involving geometric
random variables.
93, 95, 97,
99, 101103
Chapter 6
Review
Exercises
31R-34R
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AP STATISTICS (SEC) E05
Copyright © 2011-2012
1, 5, 7, 9,
13