Suppose that 650,000 residents in the State of New Jersey out of 1,000,000 households subscribe to the Record of Bergen County. Consider randomly selecting one of the households by giving each and every household in the county the same chance of being selected. 1. What is the probability that the randomly selected household subscribes to the Record? Considering the problem above, suppose that 500,000 households in the county subscribe to the New York Times. Additionally, 250,000 households subscribe to both. 2. Construct a Contingency Table for the above example. 3. What is the probability that the randomly selected household subscribes to the New York Times? 4. What is the probability that the randomly selected household subscribes to both the Bergen Record and New York Times? 5. What is the probability that the randomly selected household subscribes to the Bergen Record or the New York Times. 6. What is the probability that a household subscribes to the Bergen Record given that they subscribe to the New York Times. 7. What is the probability that a household subscribing to the New York Times given that they Subscribe to the Bergen Record. 8. Are the two events (Bergen Record and New York Times) independent, explain why in detail?