(on EXCEL ) At a certain gas station, 40% of the customers use regular gas (A1),
ID: 3058975 • Letter: #
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(on EXCEL ) At a certain gas station, 40% of the customers use regular gas (A1), 35% of the customers use plus gas (A2), and 25% use premium gas (A3). Of those fill regular gas only 30% fill their tanks. Of those using plus gas, 60% fill their tanks, whereas those using premium, 50% fill their tanks. Problem #3 (Call event B: that one fills her tank; Hint: given above that P(B/A2-0.6). (i) What is the probability that a customer will use regular gas and fill tank i.e., P(A1nB)? (ii) What is the probability that a customer fills tank P(B)? f a customer fills her tank, what is the probability she has selected premium gas i.e., P(A3 |B)?Explanation / Answer
(on EXCEL ) At a certain gas station, 40% of the customers use regular gas (A1), 35% of the customers use plus gas (A2), and 25% use premium gas (A3). Of those fill regular gas only 30% fill their tanks. Of those using plus gas, 60% fill their tanks, whereas those using premium, 50% fill their tanks. Problem #3 (Call event B: that one fills her tank; Hint: given above that P(B/A2-0.6). (i) What is the probability that a customer will use regular gas and fill tank i.e., P(A1nB)? (ii) What is the probability that a customer fills tank P(B)? f a customer fills her tank, what is the probability she has selected premium gas i.e., P(A3 |B)?
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