# Question: Suppose that the miles per gallon mpg rating of passenger cars is

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?

**View Solution:**## Answer to relevant Questions

According to the company’s website, the top 25% of the candidates who take the entrance test will be called for an interview. You have just been called for an interview. The reported mean and standard deviation of the test ...The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 16 minutes and 8 minutes, respectively. a. Find the probability that a randomly picked assembly takes ...A construction company in Naples, Florida, is struggling to sell condominiums. In order to attract buyers, the company has made numerous price reductions and better financing offers. Although condominiums were once listed ...A random variable X is exponentially distributed with a mean of 0.1. a. What is the rate parameter f? What is the standard deviation of X? b. Compute P (X. 0.20). c. Compute P (0.10 ≤ X ≤ 0.20). On average, the state police catch eight speeders per hour at a certain location on Interstate I-90. Assume that the number of speeders per hour follows the Poisson distribution. In addition to providing the answer, state ...Post your question