A company produces packets of soap powder labeled "giant size 32 ounces." the actual weight of soap powder in a box has a normal distribution, with a mean of 33 oz. And a standard deviation of 0.7 oz. What proportion of packets are underweight (i.E., weigh less than 32 oz.)?

Find the area under the standard normal curve from negative infinity to 32 oz.

If you have a calculator with statistical functions, such as the old TI 83Plus I use, then an example of the command to use here would be:

normalcdf(-1000,32, 33,0.7).

Result:  0.077

Approx. 7.7% of packages would be underweight.