SOLUTION: At a certain gas station, 45% of the customers use regular unleaded gas, 30% use extra unleaded gas and 25% use premium unleaded gas. Of those customers using regular gas, only 35%

Question 1172488: At a certain gas station, 45% of the customers use regular unleaded gas, 30% use extra unleaded gas and 25% use premium unleaded gas. Of those customers using regular gas, only 35% fill their tanks. Of those customers using extra gas, 60% fill their tanks, whereas those using premium, 45% fill their tanks.
i)Draw a tree diagram to describe the above situation
ii)What is the probability that the next customer will request premium unleaded gas and will not fill the tank?
iii)What is the probability that the next customer fill the tank?
iv)Given that the next customer fills the tank. What is the probability that extra gas is requested?

I really appreciate your help to solve my problems
Thank you.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Previously Posted
RE
type REG EXTRA PREMIUM
% .45 .30 .25
%fill/not fill .35 .65 .60 .40 .45 .55



Hi  

ii)What is the probability that the next customer will request premium unleaded gas and will not fill the tank? 

P(Independent Events) = the product of the individual probabilities.

P = 

iii)What is the probability that the next customer fill the tank?

mutually exclusive: 

P(A or B or C ) = P(A) + P(B) + p(C)

P = 

iv)Given  that  the  next  customer  fills  the tank.  

What  is  the  probability  that it is extra gas 

P(A|B) = P(A and B)/P(B) Bayes Theorem

P(extra|fills tank) = 

Wish You the Best in your Studies. 

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