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?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The time required for an auto motive center to complete an oil change service on an automobile approximatley follows a
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?
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