At a COSTCO gasoline, 25% of the customers use regular unleaded gas (A1), 50% use extra...
At a COSTCO gasoline, 25% of the customers use regular unleaded gas (A1), 50% use extra unleaded gas (A2), and 25% use premium unleaded gas (A3). Of those customers using regular gas, only 100% fill their tanks (event B). Of those customers using extra gas, 75% fill their tanks, whereas of those using premium, 50% fill their tanks.
(a) (5 pts) What is the probability that the next customer will request regular unleaded gas and fill the tank?
(b) (5 pts) What is the probability that the next customer fills the tank?
(c) (5 pts) If the next customer fills the tank, what is the probability that regular gas is requested?
(d) (5 pts) If the next customer did not fill the tank, what is the probability that regular gas is requested?
Homework Answers
Hello Sir/ Mam
Given that:
P(A1) = 0.25 P(A2) = 0.5 P(A3) = 0.25
P(B | A1) = 1 P(B | A2) = 0.75 P(B | A3) = 0.5
(a)
(b)
(c)
(d)
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