Computing Probabilities for Any Normal Probability Distribution
Example: Grear Tire Company Problem
• Grear Tire company has developed a new steel-belted radial tire to be sold
through a chain of discount stores. But before finalizing the tire mileage
guarentee policy, Grear's managers want probability information about the
number of miles of tires will last.
• It was estimated that the mean tire mileage is 36,500 miles with a standard
deviation of 5000. In addition, the data collected indicate that a normal
distribution is a reasonable assumption.
• The manager now wants to know
1. the probability that the tire mileage x is lower than 20,000.
2. the probability that the tire mileage x will exceed 40,000.
3. the probability that the tire mileage x is between 20,000 and 40,000.
