At a Certain Gas Station, 40% of the Customers Use $A _ { 1 }$

question 15

Essay

At a certain gas station, 40% of the customers use regular unleaded gas ( $A _ { 1 }$ ), 35% use extra unleaded gas ( $A _ { 2 }$ ), and 25% use premium unleaded gas ( $A _ {3 }$ ). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using extra gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.
a. What is the probability that the next customer will request extra unleaded gas and fill the tank?
b. What is the probability that the next customer fills the tank?
c. If the next customer fills the tank, what is the probability that regular gas is requested? Extra gas? Premium gas?

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Definitions:

Male Sex Organs

The reproductive organs in males, including the testes and penis, responsible for producing sperm and facilitating reproduction.

Intersexed

A term describing individuals born with biological sex characteristics (such as chromosomes, genitalia, and hormone levels) that do not fit typical binary notions of male or female bodies.

Genitalia

The external and internal organs of the reproductive system in both males and females, responsible for sexual reproduction.

Sex Chromosomes

Chromosomes responsible for determining the biological sex of an organism, notably the X and Y chromosomes in mammals that govern male and female traits.