At a certain gas station, 40% of the customers use regulargas (A1), 35% use plus gas

Chapter 2, Problem 59

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At a certain gas station, 40% of the customers use regulargas (A1), 35% use plus gas (A2), and 25% use premium (A3).Of those customers using regular gas, only 30% fill theirtanks (event B). Of those customers using plus, 60% filltheir tanks, whereas of those using premium, 50% fill theirtanks.a. What is the probability that the next customer willrequest plus gas and fill the tank ?b. What is the probability that the next customer fills thetank?c. If the next customer fills the tank, what is the probabilitythat regular gas is requested? Plus? Premium?

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