This preview shows pages 1–3. Sign up to view the full content.
IE 111
NAME
_______Solutions___________
8:00 Section
Exam 1b
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.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentQuestion 1
Consider the events shown in the Venn diagram above:
Suppose P(A)=0.3
P(B)=0.1
P(C)=0.4
P(D)=0.2.
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) =
0.7
c)
Find P(A
′∩
B
′∩
D)
= P(D) =
0.2
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
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '07
 Storer

Click to edit the document details