At a certain gas station, 40% of customers use regular unleaded gas (A1), 35% use special unleaded gas ...

At a certain gas station, 40% of customers use regular unleaded gas (A1), 35% use special unleaded gas (A2) and 25% use premium unleaded gas (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using special gas, 60% fill their tanks, while of those using premium, 50% fill their tanks. a) Display this information in a probability tree diagram. b) What is the probability that the next customer will request special unleaded gas and fill the tank (A2 and B)? c) What is the probability that the next customer fills the tank? d) If the next customer fills the tank, what is the probability that regular gas was requested? Special? Premium?