CHAPTER 3
Section 3-1
3-1.
The range of X is
{}
1000
,...,
2
,
1
,
0
3-2
The range of X is
012
50
, , ,.
..,
3-3.
The range of X is
99999
3-4
The range of X is
012345
,,,,,
3-5.
The range of X is
{
. Because 490 parts are conforming, a nonconforming part must be
selected in 491 selections.
}
}
491
,...,
2
,
1
3-6
The range of X is
{
. Although the range actually obtained from lots typically might not
exceed 10%.
100
3-7.
The range of X is conveniently modeled as all nonnegative integers. That is, the range of X is
..
3-8
The range of X is conveniently modeled as all nonnegative integers. That is, the range of X is
3-9.
The range of X is
15
,...,
2
,
1
,
0
3-10
The possible totals for two orders are 1/8 + 1/8 = 1/4, 1/8 + 1/4 = 3/8, 1/8 + 3/8 = 1/2, 1/4 + 1/4 = 1/2,
1/4 + 3/8 = 5/8, 3/8 + 3/8 = 6/8.
Therefore the range of X is
1
4
3
8
1
2
5
8
6
8
,,,,
⎧
⎨
⎩
⎫
⎬
⎭
3-11
The range of X is
}
10000
,
,
2
,
1
,
0
{
…
3-12
The range of X is
5000
,...,
2
,
1
,
0
Section 3-2
3-13.
6
/
1
)
3
(
6
/
1
)
2
(
3
/
1
)
5
.
1
(
)
5
.
1
(
3
/
1
6
/
1
6
/
1
)
0
(
)
0
(
=
=
=
=
=
=
+
=
=
=
X
X
X
X
f
f
X
P
f
X
P
f
3-14
a) P(X=1.5) = 1/3
b) P(0.5< X < 2.7) = P(X=1.5) + P(X=2) = 1/6 + 1/3 = 1/2
c) P(X > 3) = 0
d) P ( 0
≤
X < 2) = P(X=0) + P(X=1.5) = 1/3 + 1/3 = 2/3
e) P(X=0 or X=2) = 1/3 + 1/6 = 1/2
3-15.
All probabilities are greater than or equal to zero and sum to one.
3-1