1. Hamiltonin, a small country consisting of six states is governed by a senate with 25 members. The number of senators for each state is proportional to the population of the state. Find the standard divisor, the standard quotes, lower Quots, and upper quota for each state in the following table. Use Hamilton's method to finish the allocation of seats in each state of Hamiltonia.
State Population Standard Divisor Standard Quota Lower Quota Upper Quota Final Allocation
Alpha 24,000
Beta 56,000
Gamma 28,000
Delta 17,000
Epsilon 65,000
Zeta 47,000
Total Population 237,000
2. State A has a population of 1.7 million people and 14 representatives, state B has a population of 3.9 million people and 31 representatives, and state C has a population of 2.3 million people and 20 representatives.
a. Calculate the Huntington-Hill number for each state.
b. According to the Huntington-Hill apportionment method, which of the three states is the most deserving of an additional representative?
3. State A has a population of 13680 and 5 representatives, state B has a population of 6180 and 2 representatives. Use the apportionment criterion to determine which state is more deserving of one additional representatives.
4. What is the Probability of Getting 2 Heads in 3 Coin Tosses? (Define sample space and event)
