Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g.

a. If a vending machine will only accept coins weighing between 5.48 g and 5.82 g, what percentage of legal quarters will be rejected?
b. If the quarters having weights in the lowest 0.5% and highest 0.5% range are to be rejected, what are the two cutoff weights?