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...

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Extracted 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?