Natural Disaster. Refer to Problem 12.

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

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

and “island” for Japan? Explain your answer.

c. What percentage of natural disaster have occurred in Hokkaido?

d. If no association existed between natural disaster and island, what percentage of volcanic eruption happened in Honshu?

e. In reality, what percentage of natural disaster occurring in Honshu was volcanic eruptions?