Stat 300
Exam 2 Study Guide (Chapter 3 & 4)
100 Points – problem weights indicated in [ ]
Questions 2 [3]
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Question 3 [9]
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Question 4 [7]
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Questions #1 [6]
Complement (negation)
Addition Rule
Conditional Probability
Multiplication Rule (Independence)
Multiplication Rule (Dependence)
Test for mutually exclusive and
independent events
Calculate conditional probability
Calculate probabilities from contingency
table (HIV data)
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Review section 3.2 #2
Review section 3.3 #6
Review Class Assignment #2
colored marbles problem
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Be able to define an experiment and an
event from a given situation
Be able to list a sample space
Be able to calculate a probability using a
sample space and counting rules
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Be able to use counting rules when order
matters and when it doesn’t, when
duplicates are allowed and when they’re
not.
Probability Distributions
 Find a single missing probability
 Find the mean and std. dev.
 Find probabilities from table
 Know when a probability is “unlikely”
 Be able to calculate the size of a sample
space without listing
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Review section 3.2 #7
Review section 3.3 #15
Review section 3.4 #6
Review section 3.2 #5b,c
Review section 3.3 #12a,c
Review section 3.4 #10a
Review class assignment #2
HIV problem
Review section 3.1 #6
Review section 3.5 #18
Review problems from slides
involving coins – problem on
exam will deal with T/F test
instead of Heads/Tails.
Review section 3.5 #10
Review introduction to
counting handout
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Question 5 [4]
Question 6 [6]
Question 7 [7]
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Question 8 [3]
Question 9 [5]
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Construct a binomial probability distribution
for tossing a die “n” times and observing a
particular number on the die
Calculate expected value
Be able to define a random variable
(example: Let X= # of heads)
Question 10 [6]
 Multiple choice test question problem
 Calculate mean and standard deviation
from a binomial random variable
 Use 2 rule to identify unusual values
Question 11 [2]
 Know when a Binomial, Geometric or
Poisson distribution is applied.
See next page for Vocabulary items
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Review section 4.1 #5, #6a, b
Review class assignment #5
problem #2
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Review section 3.4 #4
Review section 3.5 #4
Review section 4.2 #6
Review dice examples from
class notes
Review section 4.1 #12
Review class assignment #5
problem #1
Review section 4.2 #8
Review section 4.3 #3
Review class assignment #4
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See section 4.4 for examples.
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Vocabulary
experiment
event
sample space
probability
law of large numbers
odds ( payoff)
compound event
addition rule
mutually exclusive
complementary events
conditional probability
multiplication rule
fundamental counting rule(s)
a) mn , b) nr
factorial
factorial counting rule
permutation counting rule
combination counting rule
random variable
discrete random variables
probability distribution
expected value
binomial probability distribution
unusual values
o
minimum and maximum (2  rule)
unlikely values
o
independent events
dependent events
using probability values (0.05 rule)
Poisson & Geometric distribution
Formulas
Outcomesfa
vorabletoA
P
(
A
)

P
(
AandB
)

P
(
A
)

P
(
B
A
)
Totaloutco
mes
if dependent
P
(
AandB
)

P
(
A
)

P
(
B
)
P
(
AorB
)

P
(
A
)

P
(
B
)

P
(
AandB
)
if independent
P
(AandB
)
P
(B
A
)
P
(
AorB
)

P
(
A
)
P
(
B
)
if mutually exclusive
P
(A
) Conditional probabilit
P(A) = 1 – P(Ac)
Permutations
Combinations
n!
n
!
nP
r 
nC
r
different
items
(nr)!
(nr)!
r!
n!
n1!n2!nk!some items alike
For all probability distributions

[xP
(x)]
2
2
2


[
x
P
(
x
)]



Binomial distributions
x n

x
P
(x
)
nC
xpq
  np
 2  npq
BE SURE TO REVIEW CLASS ASSIGNMENT #4 AND #5