Answered: Sketch the distribution of daily water…

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

suppose that you work for a government sector for water resources management. Your section is responsible to estimate the required amount of water for household use. Assume that the volume of daily water use per household in North America follows a normal distribution. The mean volume of daily water use is 138 gallons per household and the standard deviation is 46 gallons

1. Sketch the distribution of daily water use (in gallon) per household in North America. Clearly label x and y-axis

2. Find the probability that a randomly selected household in North America uses less than 69 gallons of water per day. Calculate the z-value using the formula and find the probability using the z-table or technology

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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