Answered: When soda is added to a 12-ounce cup…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

When soda is added to a 12-ounce cup first filled with ice, the actual amount of soda in the cup is naturally less than the cup capacity. Suppose the actual amounts of soda in the cups are normally distributed with a mean of 6.9 ounces and a standard deviation of 0.37 ounces. Find the probability a randomly selected 12-ounce cup contains at least 7.1 ounces of soda. Express the answer as a decimal value rounded to the nearest thousandth.

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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