Answered: popular soft drink is sold in 1-liter…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

A popular soft drink is sold in 1-liter (1,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 1,000 milliliters and a standard deviation of 22 milliliters, normally distributed. Complete parts a and b below.

a. If the process fills the bottle by more than 40 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring?

(Round to four decimal places as needed.)

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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