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IE 111
NAME
_______Solutions___________
8:00 Section
Exam 1.1a
Fall 2011
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.
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View Full DocumentQuestion 1
Consider the events shown in the Venn diagram above:
Suppose P(A)=0.2
P(B)=0.1
P(C)=0.4
P(D)=0.3.
Suppose also that A and C are
independent. (Please compute a final probability for each part).
a)
Find P(A
′∩
B)
= 0
since (A
′∩
B) =
∅
b)
Find P(A
′∩
B
′
)
= P(A
′
)
= 1P(A) =
0.8
c)
Find P(A
′∩
B
′∩
D)
= P(D) =
0.3
d)
Find P(A
∪
B
∪
D)
= P(A
∪
D) = P(A)+P(D)
= 0.5
(A and D are M.E.)
e)
Find P(A
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 Fall '07
 Storer

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