Answered: Americans drank an average of 23.2…

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

Americans drank an average of 23.2 gallons of bottled water per capita in 2004. If the standard deviation is 2.7 gallons and the variable is normally distributed, find the find the probability that a randomly selected American drank the following. Enter your answers rounded to at least 4 decimal places. Round intermediate z-value calculations to 2 decimal places.

More than 31.8 gallons of bottled water
(more than 31.8 gallons of bottled water)

(b)Between 17.7 and 29.8 gallons of bottled water
(between 17.7 and 29.8 gallons of bottled water)

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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