IE 111
NAME
____Solutions_____________
9:00 Section
Exam 1
Fall 2008
Instructions
•
Open book, open notes
•
Clearly indicate your answer
•
You must show all relevant work and justify your answers appropriately
•
Partial credit will be given, but not without sufficient support
•
Factorials, permutations, combinations and other complex formulas do not need to be
evaluated.
You can leave as
4
C
2
for example.
•
Cases where you should compute a final number are noted.
•
Each question is worth 25 points
•
My guess is that this is a long test.
100 0
90 888
ave 76
80 34
med 77.5
70 78
S.D. 323.5081
60 115
N 14
50 6
40 5
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View Full DocumentQuestion 1
Consider the events shown in the Venn diagram above:
Suppose P(A)=0.3
P(B)=0.2
P(C)=0.5
P(D)=0.4
P(AB)=0.1.
Suppose also that A
and C are independent.
(Please compute a final probability for each part).
a)
Find P(C
′∩
D)
= 0 since (C
′∩
D)=
∅
b)
Find P(C
′∩
D
′
)
= P(C
′
) = 1P(C) = 0.5
c)
Find P(A
′∩
B
′∩
D)
= P(D) = 0.4
d)
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 Fall '07
 Storer
 Type I and type II errors, Pos TB

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