Machines that fill bags with powdered sugar, also called confectioner's sugar, are supposed to dispense exactly 32 ounces of powdered sugar into each bag. Of course, there is some variation from the target weight. In fact, the distribution of weight is roughly normal with a mean of 32.2 ounces and a standard deviation of 0.6 ounces.

1. About what percentage of bags are underweight (i.e. less than 32 ounces)?
2. About what percentage of bags have a weight greater than 34 ounces?
3. About what percentage of bags are within 0.5 ounces of the target weight (i.e, between 31.5 and 32.5 ounces)?
4. Estimate the value of the 25th percentile for this distribution.