A producer of fertilizer fills bags using an automated process. When the process is in control, the mean weight of the bags is=50 kilograms and the standard deviation of the weights is=2.4 kilograms. Each hour, 30 filled bags are selected at random and the average weight is computed. The quality control manager set the control limits for the sample average weight to be [48.98, 51.02]. If the sample mean falls outside the control limits, the manager has to stop the process and have the filling machine calibrated. If the process is in control, what is the probability that the average weight will be within the control limits? Note: use central limit theorem.