We know that, in Suburbia, the type of heating fuel used and the type of air conditioning used are statistically independent random variables in single family homes. These probability distributions are given below: Fuel System Heating Oil Probability .30 Natural Gas .70 Total 1.00 Type of Air Conditioning Probability Central Air .70 Window units .20 No A/C .10 Total 1.00 a. Find the probability a randomly selected house has natural gas and central air b. If a specific home has natural gas, what is the probability this home has central air? c. What is the probability a randomly selected home has central air or natural gas?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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We know that, in Suburbia, the type of heating fuel used and the
type of air conditioning used are statistically independent random variables in single
family homes. These probability distributions are given below:
Fuel System
Heating Oil
Probability
.30
Natural Gas
.70
Total
1.00
Type of Air Conditioning
Probability
Central Air
.70
Window units
.20
No A/C
.10
Total
1.00
a. Find the probability a randomly selected house has natural gas and central air
b. If a specific home has natural gas, what is the probability this home has central
air?
c. What is the probability a randomly selected home has central air or natural gas?
Transcribed Image Text:We know that, in Suburbia, the type of heating fuel used and the type of air conditioning used are statistically independent random variables in single family homes. These probability distributions are given below: Fuel System Heating Oil Probability .30 Natural Gas .70 Total 1.00 Type of Air Conditioning Probability Central Air .70 Window units .20 No A/C .10 Total 1.00 a. Find the probability a randomly selected house has natural gas and central air b. If a specific home has natural gas, what is the probability this home has central air? c. What is the probability a randomly selected home has central air or natural gas?
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