At a gas station, 50% of the customers use regular gas, 30% use mid-grade gas and 20% use premium gas. Of those customers using regular gas, only 30% fill their tanks. Of those customers using mid-grade gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. What is the probability that the next customer will request mid-grade gas and fill the tank

Question

Natalya Hines

Mathematics

27 August, 08:51

At a gas station, 50% of the customers use regular gas, 30% use mid-grade gas and 20% use premium gas. Of those customers using regular gas, only 30% fill their tanks. Of those customers using mid-grade gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. What is the probability that the next customer will request mid-grade gas and fill the tank

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Answers (1)

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Allie Duncan · Answer 1

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Step-by-step explanation:

In order to calculate the probability that the next customer will request mid-grade gas and fill the tank we would have to make the following calculation:

probability that the next customer will request mid-grade gas and fill the tank = percentage of the people using mid-grade gas * percentage of the people using mid-grade gas that fill their tanks

probability that the next customer will request mid-grade gas and fill the tank = 30%*60%

probability that the next customer will request mid-grade gas and fill the tank = 0.1800

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800