The board of directors of Fibber Corporation has five members ( A , B , C , D , and E ) . Using set notation write out the sample space for each of the following random experiments: a. A chairman and a treasurer are elected. b. Three directors are selected to form a search committee to hire a new CEO.
The board of directors of Fibber Corporation has five members ( A , B , C , D , and E ) . Using set notation write out the sample space for each of the following random experiments: a. A chairman and a treasurer are elected. b. Three directors are selected to form a search committee to hire a new CEO.
The board of directors of Fibber Corporation has five members
(
A
,
B
,
C
,
D
,
and
E
)
.
Using set notation write out the sample space for each of the following random
experiments:
a. A chairman and a treasurer are elected.
b. Three directors are selected to form a search committee to hire a new CEO.
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.
Conjecture
Let x and y be integers. If x is even and y is odd, then xy is even.
Try some examples. Does the conjecture seem to be true or false?
Find the general solution to the differential equation
3. A room has a large circular table with ten seats, numbered 1 to 10, such that to the right of seat number i is seat
number i + 1 for all i ∈ {1, . . . , 9} and to the right of seat 10 is seat 1. We want to assign seats to 10 people, 6 of
them only speak Slovene, 1 of them only speaks English, and the remaining 3 speak both Slovene and English, by
giving out numbered place cards. In how many ways can we do that so that everyone sits next to at least one person
who speaks a common language?
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