Quiz 4

4. Funding for many schools comes from taxes based on assessed values of local properties.​ People’s homes are assessed higher if they have extra features such as multiple bathrooms and hot tubs.  Assessment records in a certain school district indicate that 30​% of the homes have multiple bathrooms and 5​% have hot tubs. The Addition Rule might​ suggest, then, that 35​% of residences have multiple bathrooms or a hot tub.  What is wrong with that​ reasoning?

Choose the correct answer below.

1. The reasoning is correct.​ Thus, 35% of homes have either multiple bathrooms or a hot tub.
2. The sum of the probabilities of the two given events does not equal​ 1, so this is not a legitimate probability assignment.
3. A home may have multiple bathrooms and a hot tub. The events are not​ disjoint, so the Addition Rule does not apply.
4. If a home has multiple bathrooms or a hot tub​, it can influence another homeowner to add multiple bathrooms or a hot tub. The events are not​ independent, so the Addition Rule does not apply.