The local automobile dealers in the Upper Valley released the results of a survey which revealed that 53% of all cars sold last month were purchase with an extended warranty, 27% were All Wheel Drive (AWD), and 15% had both and extended warranty and AWD.

1. What is the probability one of these cars selected at random had neither an extended warranty nor AWD? (10 points)
2. What is the probability that a car had an AWD vehicle unprotected by an extended warranty? (10 points)
3. What is the probability a car with an extended warranty was an AWD vehicle? (10 points)
4. Is having an AWD vehicle with an extended warranty a mutually exclusive event? Explain (10 points)

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