IE 230
Seat # ________
(Neatly, 1 pt) Name _____________________
Closed book and notes. 60 minutes.
Cover page and four pages of exam.
No calculator.
This test covers event probability, Chapter 2 of Montgomery and Runger, fourth edition.
Score ___________________________
Exam #1, September 21, 2010
Schmeiser
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IE 230 — Probability & Statistics in Engineering I
Name _______________________
Closed book and notes. 60 minutes.
1. True or false. (3 points each)
(a)
T
F
If
S
is the sample space of an experiment, then P(
S
′
)
=
0.
(b)
T
F
If
A
and
B
are events, then P(
A
∩
B
)
≤
P(
A
).
(c)
T
F
If
E
1
,
E
2
,...,
E
n
partition
the
sample
space
S
,
then
E
1
∪
E
2
∪
. . .
∪
E
n
=
S
.
(d)
T
F
If P(
A

B
)
=
0.7, P(
B
)
=
0.4, and P(
A
)
=
0.7, then
B
′
and
A
′
are
mutually exclusive.
(e)
T
F
If
A
is an event, then
A
and
A
′
are independent.
(f)
T
F
If events
A
and
B
are independent, then
A
and
B
partition the sample
space.
(g)
T
F
If P(
A

B
)
=
0.5, P(
B
)
=
0.5, and P(
A
′
)
=
0.3, then
B
′
and
A
′
are
independent.
(h)
T
F
If
A
and
B
are independent events, then P(
B
′

A
)
=
P(
B
′
).
(i)
T
F
If the event
A
is a subset of
B
, then P(
A

B
)
≥
P(
A
).
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