Answered: Let X be the amount of soda released by…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.4: Cicumference And Area Of A Cicle

Problem 46E: A tabletop is semicircular when its three congruent drop-leaves are used. By how much has the tables...

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Let X be the amount of soda released by a soft-drink dispensing machine into a 6-ounce cup. Assume that X is normally distributed with Delta= 0.25 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 0.5% of the releases overflow the cup?

b) Using the average "fill" found in part A, determine the minimal amount that will be dispenesed in 99% of the cases.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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