2. A soft drink company sells its beverage in 1-liter bottles. One liter is equal to 1000 milliliters. The abbreviation for milliliter is mL. The machine that fills the bottles is not
perfect. The amount of soft drink it puts into the bottles fits a normal distribution, with a
mean of 1000 mL and a standard deviation of 5 mL. If the machine puts more than 1005
mL into a bottle, the bottle may spill when opened, causing customers to complain. If
che machine puts less than 995 mL into a bottle, the amount in the bottle will appear
ess than it should be, causing customers to feel cheated. A quality-control worker
checks the filled bottles before they are sealed to see if they fit within these bounds. If a
bottle is too full or not full enough, the worker removes the bottle from the assembly line.