A First Course in Probability (10th Edition)
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Let X be the amount of soda released by a soft-drink dispending machine into a 6-ounce cup. Assume that X is normally distrubuted with o = .25 ounces and that the average "fill" can be set by the vendor.
(1) At what quantity should the average "fill" be set so that no more than .5% of the releases overflow the cup?
(2) Using the average "fill" found in part (a), determine the minimal amount that will be dispensed in 99% of the cases.
Transcribed Image Text:Soft-Drink Dispenser Let X be the amount of soda re-
leased by a soft-drink dispensing machine into a 6-
ounce cup. Assume that X is normally distributed
with o = .25 ounces and that the average "fill" can be
set by the vendor.
(a) At what quantity should the average "fill" be set
so that no more than .5% of the releases overflow
the cup?
(b) Using the average "fill" found in part (a), deter-
mine the minimal amount that will be dispensed
in 99% of the cases.
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