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 paved driveways and fireplaces. Assessment records in a certain school district indicate that 47% of the homes have paved driveways and 8% have fireplaces. The Addition Rule might suggest, then, that 55% of residences have a paved driveway or a fireplace. What is wrong with that reasoning? Choose the correct answer below. O A. The reasoning is correct. Thus, 55% of homes have either a paved driveway or a fireplace. O B. The sum of the probabilities of the two given events does not equal 1, so this is not a legitimate probability assignment. OC. A home may have a paved driveway and a fireplace. The events are not disjoint, so the Addition Rule does not apply. O D. If a home has a paved driveway or a fireplace, it can influence another homeowner to add a paved driveway or a fireplace. The events are not independent, so the Addition Rule does not apply.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 14CYU
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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
0 paved driveways and fireplaces. Assessment records in a certain school district indicate that 47% of the homes have paved driveways and 8% have fireplaces. The
Addition Rule might suggest, then, that 55% of residences have a paved driveway or a fireplace. What is wrong with that reasoning?
Choose the correct answer below.
O A. The reasoning is correct. Thus, 55% of homes have either a paved driveway or a fireplace.
O B. The sum of the probabilities of the two given events does not equal 1, so this is not a legitimate probability assignment.
03
O C. A home may have a paved driveway and a fireplace. The events are not disjoint, so the Addition Rule does not apply.
O D. If a home has a paved driveway or a fireplace, it can influence another homeowner to add a paved driveway or a fireplace. The events are not
independent, so the Addition Rule does not apply.
03
Transcribed Image Text: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 0 paved driveways and fireplaces. Assessment records in a certain school district indicate that 47% of the homes have paved driveways and 8% have fireplaces. The Addition Rule might suggest, then, that 55% of residences have a paved driveway or a fireplace. What is wrong with that reasoning? Choose the correct answer below. O A. The reasoning is correct. Thus, 55% of homes have either a paved driveway or a fireplace. O B. The sum of the probabilities of the two given events does not equal 1, so this is not a legitimate probability assignment. 03 O C. A home may have a paved driveway and a fireplace. The events are not disjoint, so the Addition Rule does not apply. O D. If a home has a paved driveway or a fireplace, it can influence another homeowner to add a paved driveway or a fireplace. The events are not independent, so the Addition Rule does not apply. 03
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