A beer machine is regulated so that it discharges an average of 330 milliliters per glass. If the amount of beer discharged is normally distributed with a standard deviation equal to 5 milliliters,
(a) what fraction of the glasses will contain more than 336 milliliters?
(b) what is the probability that a glass contains between 320 and 340 milliliters?
(c) how many cups do you expect to overflow if 336-milliter glasses are used for the next 1000 drinks? (
d) below what value do we get the smallest 20% of the beers?
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