Practice question #5Suppose that the weekly water usage for single-family homes in a particular city is normally distributed. The mean is 1400 gallons and the standard deviation is 300 gallons.Suppose a home is associated with a z-score of -1.5. What is the home’s weekly water usage? Show work.If you randomly select a home, what is the probability that it will have a weekly water usage of more than 1600 gallons? Show work.

Let X be the random variable that the weekly water usage for single-family homes in a particular…

Answered: Suppose a home is associated with a…

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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Practice question #5

Suppose that the weekly water usage for single-family homes in a particular city is normally distributed. The mean is 1400 gallons and the standard deviation is 300 gallons.
1. Suppose a home is associated with a z-score of -1.5. What is the home’s weekly water usage? Show work.
2. If you randomly select a home, what is the probability that it will have a weekly water usage of more than 1600 gallons? Show work.

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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