Automobile Manufacturer - City Mileage is Approximately Normally Distributed - Mathematics Assignment Help

Assignment Task :

1. An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found out that the standard deviation is 3 miles per gallon. Assume that in-city mileage is approximately normally distributed.

a. What is the probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving?

b. What is the probability that the person will purchase a car that averages between 25 and 29 miles per gallon for in-city driving?

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