Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares s 1 , s 2 , s 3 and, the choosers and C 1 and C 2 submit their bids for these shares. a. Suppose that the choosers’ bid lists are C 1 : { s 2 } ; C 2 : { s 1 , s 3 } . Describe two different fair divisions of the land. b. Suppose that the choosers’ bid lists are C 1 : { s 1 , s 2 } ; C 2 : { s 2 , s 3 } . Describe three different fair divisions of the land.
Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares s 1 , s 2 , s 3 and, the choosers and C 1 and C 2 submit their bids for these shares. a. Suppose that the choosers’ bid lists are C 1 : { s 2 } ; C 2 : { s 1 , s 3 } . Describe two different fair divisions of the land. b. Suppose that the choosers’ bid lists are C 1 : { s 1 , s 2 } ; C 2 : { s 2 , s 3 } . Describe three different fair divisions of the land.
Solution Summary: The author explains the two different fair divisions of the land. The lone-divider method divides a plot of land into three shares and the choosers submit their bids.
Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares
s
1
,
s
2
,
s
3
and, the choosers and
C
1
and
C
2
submit their bids for these shares.
a. Suppose that the choosers’ bid lists are
C
1
:
{
s
2
}
;
C
2
:
{
s
1
,
s
3
}
. Describe two different fair divisions of the land.
b. Suppose that the choosers’ bid lists are
C
1
:
{
s
1
,
s
2
}
;
C
2
:
{
s
2
,
s
3
}
. Describe three different fair divisions of the land.
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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