IE 111 Fall 2006
Exam 1.1.1
NAME
_________________________
Instructions
•
The test is open notes and open book
•
You must show all relevant work to receive full credit.
•
Answers involving factorials, combinations and permutations need not be
calculated out.
Question 1.
Consider the Venn diagram at right with
events A, B, C, and D as shown when
you answer questions a) through e).
a)
Give a set representation of the shaded
region,
_______________________
Circle the most appropriate answer for each of
the following questions (where NMI means “need
more information”).
b)
T
F
NMI
(A
∩
B
′
)
∩
D
and
(A
∩
D)
∩
C
′
are mutually exclusive.
c)
T
F
NMI
B and C are independent
d)
T
F
NMI
P(AB) ≥ P(BA)
e)
T
F
NMI
P(B) ≤ P(D)
C
A
B
S
D
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Question 2.
The Tigers and Phillies have split the first 4 games of the World Series (each team has
won two games).
Thus we now have a best 2 out of 3 series.
The probability that either
team wins game 5, 6, and 7 (if game 7 is necessary) varies because of the different
pitchers and home field advantage.
The probability that the Tigers win game five is 0.7.
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 Spring '07
 Storer
 Major League Baseball, World Series, tigers

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