6. A soda bottling company fills bottles with what is labeled as 2 liters. However, the actual amount of soda in these bottles is normally distributed with a mean of 1.98 L and a standard deviation of 0.053 L. (Note L means liter). a) What is the probability that a bottle filled will contain less soda than the labeied amount? b) Calculate the probability that a bottle will contain between 2.07 L and 2.11 L? c) The production line has a digital scanner that will remove any bottles that are too underlled. The production supervisor has decided that the bottom 1.5% are underlled. What is the cut-off volume for the underlled bottles? d) Of bottles that contain at least 1.85 L, what is the probability that a bottle contains at most 2.06 L of soda? e) Given a bottle contains between 1.9 L and 2.2 L, what is the probability that a bottle contains exactly 1.99 L? Answer parts I, g, and h using only the Empirical Rules. f) What is the cutoff for the top 16% of filled bottles? (USE EMPIRICAL RULES ONLY) 3) What is the probability that a bottle is lled between 1.874 L and 1.927 L? (USE EMPIRICAL RULES ONLY} h) Given that bottle contains more than 1.874 L, what is the probability that it contains at least 2.033 L? (USE EMPIRICAL RULES ONLY)