# Question

Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random variable with a mean and a standard deviation of 33.8 mpg and 3.5 mpg, respectively.

a. What is the probability that a randomly selected passenger car gets at least 40 mpg?

b. What is the probability that a randomly selected passenger car gets between 30 and 35 mpg?

c. An automobile manufacturer wants to build a new passenger car with an mpg rating that improves upon 99 percent of existing cars. What is the minimum mpg that would achieve this goal?

a. What is the probability that a randomly selected passenger car gets at least 40 mpg?

b. What is the probability that a randomly selected passenger car gets between 30 and 35 mpg?

c. An automobile manufacturer wants to build a new passenger car with an mpg rating that improves upon 99 percent of existing cars. What is the minimum mpg that would achieve this goal?

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