The time required for an auto motive center to complete an oil change service on an automobile approximatley follows a normal distribution with a mean of 19 minutes and standard deviation of 4 minutes. A) The auto motive center gurantees customers that the service will take no longer than 20 minutes. If it does take longer, the customers will recive the service for half pric. What percent of customers recive the service for half price? B) If the auto motive center does not want to give the discount to more than 3% of its get customers , how long should it make the guranteed time limit?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.