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In: Statistics and Probability

The mpg (miles per gallon) for all cars has a normal distribution with mean 100 km/L...

The mpg (miles per gallon) for all cars has a normal distribution with mean 100 km/L and standard deviation of 15 km/L

a) Calculate the probability that any randomly selected car has an amount of mpg greater than 120 km/L.

b) Calculate the probability that any randomly selected car has an amount of mpg less than 95 km/L.

c) Calculate the probability that any randomly selected car has an amount of mpg between 93 km/L and 110 km/L.

d) A car is identified as a “best quality” if it is included in the top 2% of all mpgs. Find the minimum mpg needed to be qualified as “best quality”.

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