M1b: Empirical Rule as it Relates to Normal Distribution ScenarioAssignment Scenario Script Caption: Production at the Burlington facility of the Princess Foods Corporation has been found to occur at a normal distribution. While some weeks are extremely productive and others fall far enough below the average to be considered especially unproductive, production generally follows the pattern of a bell curve. Bonnie: I'm still concerned that the quality control issues will cause production to drop too low. We have another board meeting in a few weeks. If production dips that week, we are in bad shape. Caption: Depending on the timing, an off week could have an inordinately large impact on the business if that bad week is enough to make shareholders skittish. Bonnie: Can you to do some research on the probability that production will stay above targets on any given week?

Assignment Use the empirical rule to draw conclusions about the data set below assuming a normal distribution and to determine the probability of Modules produced per week at Princess Foods Corporation. Production has been determined to be a normal distribution Average production is 20,000 Modules per week with a standard deviation of 6,000 Answer the following questions: What is the probability that next week's production is between 14,000 to 32,000? What is the probability that next week's production be less than 8,000?

What is the probability that next week's production is between 26,000 and 38,000?