Let S be a sample space and E and F be events associated with S . Suppose that Pr ( E ) = 1 3 , Pr ( F ) = 5 12 , and Pr ( E ∪ F ) = 2 3 . Calculate a. Pr ( E ∩ F ) b. Pr ( E | F ) c. Pr ( F | E ) .
Let S be a sample space and E and F be events associated with S . Suppose that Pr ( E ) = 1 3 , Pr ( F ) = 5 12 , and Pr ( E ∪ F ) = 2 3 . Calculate a. Pr ( E ∩ F ) b. Pr ( E | F ) c. Pr ( F | E ) .
Solution Summary: The author calculates the value of Pr(Ecap F) if the sample space is S and the events are E and F.
Let S be a sample space and E and F be events associated with S. Suppose that
Pr
(
E
)
=
1
3
,
Pr
(
F
)
=
5
12
,
and
Pr
(
E
∪
F
)
=
2
3
. Calculate
a.
Pr
(
E
∩
F
)
b.
Pr
(
E
|
F
)
c.
Pr
(
F
|
E
)
.
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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8
√x+...∞
If, y = x + √ x + √x + √x +.
then y(2) =?
00
8
√x+...∞
If, y = x + √ x + √x + √x +.
then y(2) =?
00
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