At a certain gas station, 40% of the customers use regular gas (A,), 35% use plus gas (A,), and 25% use premium (A,). Of those customers using regular gas, only 20% fill their tanks (event B). Of those customers using plus, 40% fill their tanks, whereas of those using premium, 50% fill their tanks. Consider the following information on credit card usage. • 70% of all regular fill-up customers use a credit card. • 50% of all regular non-fill-up customers use a credit card. • 60% of all plus fill-up customers use a credit card. • 50% of all plus non-fill-up customers use a credit card. • 50% of all premium fill-up customers use a credit card. • 40% of all premium non-fill-up customers use a credit card. Compute the probability of each of the following events for the next customer to arrive (a tree diagram might help). (a) (plus and fill-up and credit card} (b) {premium and non-fill-up and credit card) (c) (premium and credit card)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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At a certain gas station, 40% of the customers use regular gas (A,), 35% use plus gas (A,), and 25% use premium (A,). Of those customers using regular gas, only 20% fill their tanks (event B). Of those customers using plus, 40% fill their tanks, whereas of those using premium, 50% fill their tanks.
Consider the following information on credit card usage.
• 70% of all regular fill-up customers use a credit card.
• 50% of all regular non-fill-up customers use a credit card.
• 60% of all plus fill-up customers use a credit card.
• 50% of all plus non-fill-up customers use a credit card.
• 50% of all premium fill-up customers use a credit card.
• 40% of all premium non-fill-up customers use a credit card.
Compute the probability of each of the following events for the next customer to arrive (a tree diagram might help).
(a) {plus and fill-up and credit card}
(b) {premium and non-fill-up and credit card}
(c) {premium and credit card}
(d) {fill-up and credit card}
(e) {credit card}
(f) If the next customer uses a credit card, what is the probability that premium was requested? (Round your answer to four decimal places.)
Transcribed Image Text:At a certain gas station, 40% of the customers use regular gas (A,), 35% use plus gas (A,), and 25% use premium (A,). Of those customers using regular gas, only 20% fill their tanks (event B). Of those customers using plus, 40% fill their tanks, whereas of those using premium, 50% fill their tanks. Consider the following information on credit card usage. • 70% of all regular fill-up customers use a credit card. • 50% of all regular non-fill-up customers use a credit card. • 60% of all plus fill-up customers use a credit card. • 50% of all plus non-fill-up customers use a credit card. • 50% of all premium fill-up customers use a credit card. • 40% of all premium non-fill-up customers use a credit card. Compute the probability of each of the following events for the next customer to arrive (a tree diagram might help). (a) {plus and fill-up and credit card} (b) {premium and non-fill-up and credit card} (c) {premium and credit card} (d) {fill-up and credit card} (e) {credit card} (f) If the next customer uses a credit card, what is the probability that premium was requested? (Round your answer to four decimal places.)
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