Vending Machines: Currently, quarters have weights that are normally distributed with a mean of 5.670g and a standard deviation of 0.062g. A vending machine is configured to accept only those quarters with weights between 5.550g and 5.790g.
a) If 280 different quarters are inserted into the vending machine, what is the expected number of rejected quarters?
b) If 280 different quarters are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.550g, and 5.790g?
c) If you own the vending machine, which results would concern you more? The results from Part-A or the results from Part-B? Why?