At a gas station, 40% of the customers use regular gas (A1), 35% use midgrade 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 midgrade gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. (a) What is the probability that the next customer will request midgrade gas and will fill the tank? (b) What is the probability that the next customer will fill the tank?

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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M-1 Please I need help with this question needed a very clear and step-by-step explanation and needed with clear handwriting please, will be really appreciated your help.

 

 

1. At a gas station, 40% of the customers use regular gas (A1), 35% use midgrade 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 midgrade gas, 60% fill their tanks, whereas of those using premium,
50% fill their tanks.
(a) What is the probability that the next customer will request midgrade gas and will fill the
tank?
(b) What is the probability that the next customer will fill the tank?
(c) If the next customer fills the tank, what is the probability that regular gas is requested?
Midgrade gas? Premium gas?
Transcribed Image Text:1. At a gas station, 40% of the customers use regular gas (A1), 35% use midgrade 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 midgrade gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. (a) What is the probability that the next customer will request midgrade gas and will fill the tank? (b) What is the probability that the next customer will fill the tank? (c) If the next customer fills the tank, what is the probability that regular gas is requested? Midgrade gas? Premium gas?
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