Answered: The average annual rainfall in Detroit…

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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The average annual rainfall in Detroit is 52.1" of rain per year with a standard deviation of 10" per year. Assume a Normal Distribution applies to annual rainfall.

Suppose someone wants to move to Detroit for 4 years, but only if the average rainfall over 4 years is more than 61.9" per year 2.5% of the time and less than 42.3" per year 2.5% of the time. Do you recommend that they move to Detroit? Explain your answer or Show your 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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