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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 12DE
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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. 

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.
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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