AP Statistics
Chapter 8 – Binomial and Geometric Random Variables
28 Monday
98
Title
8.1C Mean and Std.Dev
of Binomial R.V.
Objectives
29 Tuesday
99
Title
8.1D Binomial
Simulations
Objectives
30 Wednesday
100
Title
Review 8.1
D: Calculate means
(expected values) and
standard deviations of
binomial random
variables.
E: Use a Normal
approximation to the
binomial distribution to
compute probabilities.
B: Use simulations to
determine binomial
probabilities and to
construct probability
distribution tables and
histograms.
C: Use simulation to
calculate cumulative
distribution functions for
binomial random variables
and construct cumulative
distribution tables and
histograms.
A-E
Assessments
Lesson Activities
Develop formulas for mean
and std.dev. of binomial r.v.
Use Normal Approx. to
Binomial applet to generate
conditions that must be met
to use normal approx. to
binomial.
Examples comparing
binomial probabilities to
those generated using a
normal approximation.
Assignment
Prob. 8.1C pp. 529-530
#19 – 24
Read 8.1D pp. 533-534
Assessments
Lesson Activities
Conducting binomial
simulations using
randbin(1,p,n).
Assignment
Prob. 8.1D pp. 534-535
#27, 28, 30
Read 8.2 pp. 539-549
Objectives
Assessments
31 Thursday
101
Title
8.2 The Geometric
Random Variable
Objectives
01
Friday
102
Title
Review Chapter 8
F: Identify a random variable
as geometric by verifying
four conditions: two
outcomes (success and
failure); independent
trials; the same
probability of success for
each trial; and the count
of interest is the number
of trials required to get
the first success.
G: Use technology or
formulas to determine
geometric probabilities
and to construct
probability distribution
tables and histograms.
Assessments
H: Calculate cumulative
distribution functions for
geometric random
variables and construct
cumulative distribution
tables and histograms.
I: Calculate expected
values of geometric
random variables.
Lesson Activities
Lesson Activities
Review:
Conditions for binomial;
Formulas for binomial;
Probs. on calculator;
Mean and Std.Dev;
Normal approx. to binomial;
Binomial simulations
The game of Trouble as a
geometric random variable.
Compare 4 conditions for
binomial r.v. to those of
geometric r.v.
Formulas for calculating
geometric probabilities.
Calculating the mean and
std.dev. of a geometric r.v.
Assignment
Assignment
Review problems on
Binomial random variable
#1-9
January
Prob. 8.2 pp. 543-544
#41, 43, 44
Prob. 8.2 pp. 550-551
#48, 49, 50
Objectives
Assessments
Lesson Activities
Assignment
Read RV Ch8 pp. 555-556
Prob. RV Ch8 pp. 557-559
#60, 64, 65, 67, 68