The amount of coffee poured from a dispenser into a glass obeys the normal law whose average is 300 mL and the deviation type 5 mL. a) What proportion of the glasses of coffee served by this dispenser contain less than 292 mL of coffee? b) If the glasses have a maximum capacity of 310 mL, what proportion of glasses overflowing when used with this distributor? c) What should be the capacity of the glasses so that only 1% of them overflow when used? with this distributor?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
Problem 1.3E
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The amount of coffee poured from a dispenser into a glass
obeys the normal law whose average is 300 mL and the deviation
type 5 mL.
a) What proportion of the glasses of coffee served by this dispenser contain less than 292 mL of coffee?
b) If the glasses have a maximum capacity of 310 mL, what
proportion of glasses overflowing when used
with this distributor?
c) What should be the capacity of the glasses so that only 1% of them overflow when used?
with this distributor?

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