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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Sequence
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON