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.
The following ordered data list shows the data speeds for cell phones used by a
telephone company at an airport:
A. Calculate the Measures of Central Tendency from the ungrouped data list.
B. Group the data in an appropriate frequency table.
C. Calculate the Measures of Central Tendency using the table in point B.
0.8
1.4
1.8
1.9
3.2
3.6
4.5
4.5
4.6
6.2
6.5
7.7
7.9
9.9
10.2
10.3
10.9
11.1
11.1
11.6
11.8
12.0
13.1
13.5
13.7
14.1
14.2
14.7
15.0
15.1
15.5
15.8
16.0
17.5
18.2
20.2
21.1
21.5
22.2
22.4
23.1
24.5
25.7
28.5
34.6
38.5
43.0
55.6
71.3
77.8
Solve for y
Chapter 6 Solutions
Finite Mathematics & Its Applications (12th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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