A soda-filling machine is intended to dispense 12 ounces of product per can. The actual machine performance has mean value of 12.4 ounces with standard deviation of 0.2 ounces. Based on this information determine: a) the probability the machine dispenses less than 12 ounces in a can, b) if all cans less than 12.1 or greater than 12.9 must be scrapped, the fraction of scrapped cans, c) the upper and lower limits (symmetric about the mean fill mass) that includes 99% of all cans, d) if the mean fill mass can be easily adjusted without changing standard deviation, what mean fill mass should be set to ensure 99.9% of all cans have more than 12 ounces.