At a certain gas station, 40% of the customers use regular gas (A,), 35% use plus gas (A,), and 25% use premium (A). Of those customers using regular gas, only 10% fill their tanks (event B). Of those customers using plus, 20% fill their tanks, whereas of those using premium, 50% fill their tanks. (a) What is the probability that the next customer will request plus gas and fill the tank (A, n B)? 0.07 (b) What is the probability that the next customer fills the tank? 0.609 (c) If the next customer fills the tank, what the probability that regular gas is requested? (Round your answer three decimal places.) 0.048 If the next customer fills the tank, what the probability that plus gas is requested? (Round your answer to three decimal places.) 0.609 If the next customer fills the tank, what is the probability that premium gas is requested? (Round your answer to three decimal places.) 0.609

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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At a certain gas station, 40% of the customers use regular gas (A,), 35% use plus gas (A,), and 25% use premium (A3). Of those customers using regular gas, only 10% fill their tanks (event B). Of those customers using plus, 20% fill their tanks,
whereas of those using premium, 50% fill their tanks.
(a) What is the probability that the next customer will request plus gas and fill the tank (A, n B)?
0.07
(b) What is the probability that the next customer fills the tank?
0.609
(c) If the next customer fills the tank, what is the probability that regular gas is requested? (Round your answer to three decimal places.)
0.048
If the next customer fills the tank, what is the probability that plus gas is requested? (Round your answer to three decimal places.)
0.609
If the next customer fills the tank, what is the probability that premium gas is requested? (Round your answer to three decimal places.)
0.609
Transcribed Image Text:At a certain gas station, 40% of the customers use regular gas (A,), 35% use plus gas (A,), and 25% use premium (A3). Of those customers using regular gas, only 10% fill their tanks (event B). Of those customers using plus, 20% fill their tanks, whereas of those using premium, 50% fill their tanks. (a) What is the probability that the next customer will request plus gas and fill the tank (A, n B)? 0.07 (b) What is the probability that the next customer fills the tank? 0.609 (c) If the next customer fills the tank, what is the probability that regular gas is requested? (Round your answer to three decimal places.) 0.048 If the next customer fills the tank, what is the probability that plus gas is requested? (Round your answer to three decimal places.) 0.609 If the next customer fills the tank, what is the probability that premium gas is requested? (Round your answer to three decimal places.) 0.609
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