Example
Problem: Estimate the probability that a message can pass through
a network of switches and communication links, by testing only switches
and links.

Population 1:

Population 2:
The message can be delivered whenever there is a faultfree path connecting
left to right, assuming that the links going into the first and out of
the last switches are working. So we have:
P[transmission] = p_{1}^{3}p_{2}^{2 }[
2 + 2p_{1}p_{2}  5p_{1}p_{2}^{2}
+ 2p_{1}p_{2}^{3} ]
We assume that we will be allowed a fixed number N of observations
of the two populations.
Question: How should one sample from the two populations, to obtain the
best estimate of the message transmission probability?
General
SetupOutlineIntroduction