Let S be a sample space and E and F be events associated with S . Suppose that Pr ( E ) = .6 , Pr ( F ) = .3 , and Pr ( E ∩ F ) = .2 . Calculate a. Pr ( E | F ) b. Pr ( F | E ) c. Pr ( E | F ′ ) d. Pr ( E ′ | F ′ ) .
Let S be a sample space and E and F be events associated with S . Suppose that Pr ( E ) = .6 , Pr ( F ) = .3 , and Pr ( E ∩ F ) = .2 . Calculate a. Pr ( E | F ) b. Pr ( F | E ) c. Pr ( E | F ′ ) d. Pr ( E ′ | F ′ ) .
Solution Summary: The author calculates the value of Pr(E|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
)
=
.6
,
Pr
(
F
)
=
.3
,
and
Pr
(
E
∩
F
)
=
.2
. Calculate
a.
Pr
(
E
|
F
)
b.
Pr
(
F
|
E
)
c.
Pr
(
E
|
F
′
)
d.
Pr
(
E
′
|
F
′
)
.
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 solutions are 1
where x1 x2-
● Question 11
Solve: x 54
Give your answer as an interval.
Question 12
A population of deer in Pierce County currently has 1875 deer, but due to urban development, the population
is decreasing at a rate of 1.1% a year.
a) Assuming this growth rate continues, find the formula for a function f(t) describing this population. b) In
how many years will the population reach 1300?
Do the problems on your own paper, show all your work, and submit your scanned work below.
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Chapter 6 Solutions
Finite Mathematics & Its Applications (12th Edition)
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