Let events A and B and sample space S be defined as the following intervals: S = { x : 0 ≤ x ≤ 10 } A = { x : 0 < x < 5 } B = { x : 3 ≤ x ≤ 7 } Characterize the following events: (a) A C (b) ( A ∩ B ) (c) ( A ∪ B ) (d) ( A ∩ B C ) (e) ( A C ∪ B ) (f) ( A C ∩ B C )
Let events A and B and sample space S be defined as the following intervals: S = { x : 0 ≤ x ≤ 10 } A = { x : 0 < x < 5 } B = { x : 3 ≤ x ≤ 7 } Characterize the following events: (a) A C (b) ( A ∩ B ) (c) ( A ∪ B ) (d) ( A ∩ B C ) (e) ( A C ∪ B ) (f) ( A C ∩ B C )
Let events A and B and sample space S be defined as the following intervals:
S
=
{
x
:
0
≤
x
≤
10
}
A
=
{
x
:
0
<
x
<
5
}
B
=
{
x
:
3
≤
x
≤
7
}
Characterize the following events:
(a)
A
C
(b)
(
A
∩
B
)
(c)
(
A
∪
B
)
(d)
(
A
∩
B
C
)
(e)
(
A
C
∪
B
)
(f)
(
A
C
∩
B
C
)
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
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