. An automobile is selling a new model car with an advertised in‐city mileage of 27 MPG. As with most

Question

car models, there is no associated measure of variability (variance, SD, etc.) included with the advertised
MPG. You write the manufacturer and request details on variability in MPG, and you find that the SD is 3
MPG. You assume that MPG for this model follows a Standard Normal Distribution.
a) If you were to buy one of these new cars, what is the probability that you would purchase one that
gets <20 MPG in‐city?
b) What is the probability that you would purchase one that gets >30 MPG i