# Normal Probability: Delivery Truck fuel consumption

A delivery truck averages 15 miles per gallon, with a standard deviation of 3 miles per gallon, and that fuel consumption is Normally Distributed. Using the Normal Distribution, if the total trip mileage for that day is 200 miles, what is the minimum amount of fuel (gallons) that the driver should start the trip with to ensure there is only a five percent chance of running out of fuel prior to completing the trip. Also, define the Random Variable.

Please show all work and graphs.

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Normal Distribution

A delivery truck averages 15 miles per gallon, with a standard deviation of 3 miles per gallon, and that fuel consumption is Normally Distributed. Using the Normal Distribution, if the total trip mileage for that day is 200 miles, what is the minimum amount of fuel (gallons) that the driver should start the trip with to ensure there is only a five percent chance of running out of fuel prior to completing the trip. Also: Define the ...

#### Solution Summary

The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.