(Solved): 3. (3 Pts) (Textbook, #58) At A Gas Station, 40% Of The Customers Use Regular Gas (A1), 35% Use Mid-...

3. (3 pts) (Textbook, #58) At a gas station, 40% of the customers use regular gas (A1), 35% use mid-grade 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 mid-grade gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. (a) (1 pt) What is the probability that the next customer will request regular gas and fill the tank (Ain B)? (b) (1 pt) What is the probability that the next customer will request mid-grade gas and fill the tank (A2 n B)? (c) then what is the probe (C) (1 pt) What is the probability that the next customer will request premium gas and fill the tank (A3 n B)?