At a certain gas station 40% of the customers request regular gas, 35% request unleaded gas, and 25% request premium gas. Of tho
1 answer:
Answer:
51.38% probability that they requested regular gas
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question, we have that:
Event A: Not filling the tank
Event B: Regular gas
40% of the customers request regular gas
This means that
Of those customers requesting regular gas, 70% only fill up part of their tank.
This means that
Probability of not filling the tank:
70% of 40%(regular gas)
100 - 60 = 40% of 35%(unleaded gas).
100 - 50 = 50% of 25%(premium gas).
So
What is the probability that they requested regular gas?
= 0.5138
51.38% probability that they requested regular gas
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