At a certain gas station, 50% of the customers use regular gas (A1), 35%use plus

Question

At a certain gas station, 50% of the customers use regular gas (A1), 35%use plus gas (A2), and 15% use premium (A3). Of those customers using regular gas, only 40% fill their tanks (event B). Of those customers using plus, 50% fill their tanks, whereas of those using premium, 30% fill their tanks. a) What is the probability that the next customer will request plus gas and fill the tank? b) What is the probability that next customer fills the tank? c) If the next customer fills the tank, what is the probability that regular gas is requested?

Explanation / Answer

a) P(plus gas and fill tank) = 0.35x0.5 = 0.175

b) P(filling the tank) = 0.50x0.4 + 0.35x0.5 + 0.15x0.3

= 0.42

c) P(regular gas | fills the tank) = P(regular gas and fills the tank) / P(fills the tank)

= 0.5x0.4 / 0.42

= 0.4762

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.