The Kangaroo Lodge of Madison Country has 10 members ( A , B , C , D , E , F , G , H , I and J ). The club has five working committees: the Rules Committee ( A , C , D , E , I , and J ), the Public Relations Committee ( B , C , D , H , I and J ), the guest speaker committee ( A , D , E , F , and H ), the New Year’s Eve Party Committee ( D , F , G , H , and I ), and the Fund raising Committee ( B , D , F , H . and J ). a. Suppose we are interested in knowing which pairs of members are on the same committee. Draw a graph that models this problem. ( Hint: Let the vertices of the graph represent the members.) b. Suppose we are interested in knowing which committees have members in common. Draw a graph that models this problem. ( Hint: Let the vertices of the graph represent the committees.)
The Kangaroo Lodge of Madison Country has 10 members ( A , B , C , D , E , F , G , H , I and J ). The club has five working committees: the Rules Committee ( A , C , D , E , I , and J ), the Public Relations Committee ( B , C , D , H , I and J ), the guest speaker committee ( A , D , E , F , and H ), the New Year’s Eve Party Committee ( D , F , G , H , and I ), and the Fund raising Committee ( B , D , F , H . and J ). a. Suppose we are interested in knowing which pairs of members are on the same committee. Draw a graph that models this problem. ( Hint: Let the vertices of the graph represent the members.) b. Suppose we are interested in knowing which committees have members in common. Draw a graph that models this problem. ( Hint: Let the vertices of the graph represent the committees.)
Solution Summary: The author illustrates how to model a situation in which we can find out the pairs of members in the same committee
The Kangaroo Lodge of Madison Country has
10
members (
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
and
J
). The club has five working committees: the Rules Committee (
A
,
C
,
D
,
E
,
I
,
and
J
), the Public Relations Committee (
B
,
C
,
D
,
H
,
I
and
J
), the guest speaker committee (
A
,
D
,
E
,
F
,
and
H
), the New Year’s Eve Party Committee (
D
,
F
,
G
,
H
,
and
I
), and the Fund raising Committee (
B
,
D
,
F
,
H
.
and
J
).
a. Suppose we are interested in knowing which pairs of members are on the same committee. Draw a graph that models this problem. (Hint: Let the vertices of the graph represent the members.)
b. Suppose we are interested in knowing which committees have members in common. Draw a graph that models this problem. (Hint: Let the vertices of the graph represent the committees.)
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
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Chapter 5 Solutions
Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
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