Question: A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with

A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters,

(a) What fraction of the cups will contain more than 224 milliliters?

(b) What is the probability that a cup contains between 191 and 209 milliliters?

(c) How many cups will probably overflow if 230-milliliter cups are used for the next 1000 drinks?

(d) Below what value do we get the smallest 25% of the drinks?

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