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Suppose the average price of gasoline for a city in the United States follows a continuous uniform distribution with a lower bound of $3.50 per gallon and an upper bound of $3.80 per gallon. What is the probability a randomly chosen gas station charges between $3.70 and $3.90 per gallon?

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MechEngineer

Answer:

0.333

Step-by-step explanation:

If the price of the gasoline is distributed uniformly between $3.5 and $3.8. Then the probability of a randomly chosen gas station charges between $3.70 and $3.90 per gallon is as the following:

[tex]P = \frac{3.8 - 3.7}{3.8 - 3.5} = \frac{1}{3} = 0.333[/tex]

As the upper limit of the price is only $3.8, we take into account of the random price between $3.7 and $3.8 only

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