Question

Solution Procedure: In solving these problems and subsequent ones, use the following procedure: (1) Define the events of interest. (2) Write down the information given. (3) Write down the question. (4) Use the appropriate rule to answer the question.

An automobile manufacturer produces a certain model of car. The fuel economy figures of these cars are normally distributed with a mean mileage per gallon (mpg) of 36.8 and a standard deviation of 1.3.

(a) What is the probability that one of these cars will have an mpg of more than 37.5?  

(b) What is the probability that one of these cars will have a mpg of less than 35? L

(c) What is the probability that one of these cars will have a mpg of less than 40?

(d) What is the probability that one of these cars will have a mpg of between 34 and 38 mpg?

(e) What is the minimum mpg of the 15% most fuel efficient cars?

(f) What is the maximum mpg of the 10% least fuel efficient cars?

Answer 1