Suppose that 12% of all cars produced at the GM plant in Michigan have a certain defect, and 10% of all cars produced at the GM plant in Tennessee also have this defect. Each month, a quality control manager takes separate random samples of 220 of the over 2200 cars produced from each plant.The manager looks at the difference between the proportions of cars with the defect in each sample.

Find the probability that the sample proportion of defects from the Tennessee plant is greater than the sample proportion from the Michigan plant.