In: Statistics and Probability
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”.