Natural Disaster. Refer to Problem 12.

a. Find the conditional distributions of natural disaster by island and the marginal distribution of natural disaster.

b. Does an association exist between the variables “natural disaster”

and “island” for Japan? Explain your answer.

c. What percentage of earthquakes have occurred in the islands?

d. If no association existed between natural disaster and island, what percentage of typhoons would have occurred in Osumi Island?

e. In reality, what percentage of natural disaster occurring in Osumi Island was typhoon?