Hupper Corporation produces many types of soft drinks, including Orange Cola. The filling machines are adjusted to pour 12 ounces of soda into each 12-ounce can of Orange Cola. How- ever, the actual amount of soda poured into each can is not exactly 12 ounces: it varies from can to can. It has been observed that the net amount of soda in such a can has a normal dis- tribution with a mean of 12 ounces and a standard deviation of .015 ounce. (a) What is the probability that a randomly selected can of Orange Cola contains 11.97 to 11.99 ounces of soda? (b) What percentage of the Orange Cola cans contain 12.02 to 12.07 ounces of soda? Ans: We can also state that about 22.86% of Or- ange Cola cans contain 11.97 to 11.99 ounces of soda. Suppose the life span of a calculator manufactured by Texas Instruments has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. About what percentage of calculators made by this company are expected to be replaced?

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