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(Solved): 5. (2 Pts) (Textbook, #58) (Continuing Problem 3 From Above) At A Gas Station, 40% Of The Customers ...
5. (2 pts) (Textbook, #58) (Continuing Problem 3 from above) At a gas station, 40% of the customers use regular gas (A1), 35% use mid-grade gas (A2), and 25% use premium gas (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using mid-grade gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. (a) (1 pt) What is the probability that the next customer fills their tank? (b) (1 pt) If the next customer fills the tank, what is the probability that midgrade gas is requested?
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We have, A1 as the event that a customer requests for regular gas. A2 as the event that a customer requests for mid-grade gas. A1 as the event that a customer requests for premium gas. B as the event