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IE 111
Solutions
10:00 Section
Exam 1.2
Fall 2007
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 and combinations need not be evaluated.
You can leave as
4
C
2
for example
•
Each question is worth 25 points
10:00
Exam 1
40's 013
50's 01
Ave= 70
60's 4455889
Med= 74
70's 02344667888
N= 32
80's 011667
SD= 14.9
90's 46
100's 0
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View Full DocumentQuestion 1.
Consider the Venn diagram and associated probabilities below:
P(A) = 0.36
P(D)=0.1
P(B
∪
D)=0.5
P(A
∩
B) = 0.18
P(C) = 0.32
a)
Find P(A
∪
B)
P(B) = P(B
∪
D) = 0.5
because D is a proper subset of B
P(A
∪
B) = P(A)+P(B) P(A
∩
B) = 0.36+0.50.18 =
0.68
b)
Are A and B independent? Show why or why not.
P(A)P(B) = 0.36*0.5 = 0.18 = P(A
∩
B) = 0.18
Therefore they
are independent
c)
Find P(B)
P(B) = P(B
∪
D)
= 0.5
because D is a proper subset of B
d)
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 Spring '07
 Storer

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