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In: Statistics and Probability

Please evaluate this question with every detail step and explanation. (No computer output is accepted) The...

Please evaluate this question with every detail step and explanation.

(No computer output is accepted) 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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