Application to Polling
l
Choose each member with probability
p
l
Let
X
be total number of reds seen
l
Then
E
[
X
]
=pc
l
So estimate
ĉ
by
X/p
l
Note
ĉ
accurate to within
1±
e
iff
X
is
within
1±
e
of expectation:
ĉ = X
/
p
Î
(
1±
e
)
E
[
X
]/
p
= (
1±
e
)
c