The total weights of garbage that households discard weekly is approximately normally distributed, with a mean of 12.5 kg and a standard deviation of 5.7 kg (based on Data Set 1 in Appendix B).s
a. If 120 households are randomly selected, find the probability that the mean weight of their discarded garbage is over 13.5 kg.
b. If the town's waste transfer station allocates capacity for 1690 kg of temporary garbage storage per 120 households per week, and the typical garbage route is based on 120 households, what percentage of garbage routes will exceed the allocated capacity for their garbage? Is this an acceptable level or should the town council take corrective action?