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```AP STATISTICS
Chapter 7 – Homework
Random Variables and Probability Distributions
HW#
1
Objective
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Understand the definition of a random
variable.
Be able to distinguish between discrete
and continuous random variables given
verbal or symbolic descriptions of
probabilistic scenarios.
Understand the definition of a discrete
random variable.
Understand properties of discrete
random variables.
Be able to represent probability
distributions of discrete random
variables using tables, formulae, or
histograms.
Be able to interpret table, formula, or
histograms when used as
representations of probability
distributions of discrete random
variables.
Be able to calculate probabilities such
as P(x < a), P(a ≤ x ≤ b), P(x ≥ a).
Understand the definition
and properties of continuous
random variables.
Be able to represent probability
distributions of continuous random
variables using formulae or function
definitions.
Be able to interpret formulaic or
graphic representations of probability
distributions of continuous random
variables.
Be able to calculate probabilities such
as P(x < a), P(x ≥ a), P(a ≤ x ≤ b).
Understand the definition of the mean
and standard deviation of a discrete
random variable.
Be able to calculate the mean
and standard deviation of a
discrete random variable.
Be able to calculate the mean and
standard deviation of a linear function
of a random variable.
Be able to calculate the mean and
standard deviation of a simple linear
combination of two independent
random variables.
Section
Reading
7.1
357-360
7.2
361-365
Homework
Problems
p. 360 #
1,3,4,5
p. 365 #
9,11,15,16
# 12,13,14
as a class
7.3
367-370
p. 371 # 2126
7.4
372-383
p. 383 # 27
(review)
# 44 as a
class
p. 383 #
27,29,30,33,3
4,35,40,43,
Due
Date
Questions
AP STATISTICS
Chapter 7 – Homework
Random Variables and Probability Distributions
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Understand the definition and properties
of the binomial and geometric random
variables.
Be able to use the appropriate formula
to calculate the probability of a
possible value of a binomial random
variable.
Be able to calculate the mean and
standard deviation of a binomial
random variable.
Be able to use the appropriate formula
to calculate the probability of a
possible value of a geometric
random variable.
Describe the general shape of a normal
distribution.
Understand the definition of a standard
normal distribution.
Be able to find tail and interior
probabilities in a normal distribution
using the standard normal tables.
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Be able to use the normal probability plot
to assess approximate normality.
• Have a sense of how the normal
probability plot helps to determine the
credibility of approximate normality
for a distribution.
• Be able to find probabilities using the
normal approximation to the binomial.
Review
7.5
386-392
p. 395
Binomial #
45,47,51,53,5
5,56,60
Geometric #
61-63
7.6
405-412
7.7
414-417
7.8
425-428
430-431
Day 1
p. 412 #
65,67,68,69,7
0,71
Day 2
p. 413 #
73,76,77,
79,80
81-83,85
We will
discuss as
part of
Chapter 9.
103 – 123
odd as needed
for your
review.
```