Answered: Road A: μ = 54 minutes and σ = 5…

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

Mr. Dela Cruz can take either two roads to the airport from his home (Road A or Road B). Owing to varying traffic conditions that travel times on two roads are not fixed, rather on a Friday around noon that travel times across these roads can be approximated per normal distribution as follows:

Road A: μ = 54 minutes and σ = 5 minutes.

Road B: μ = 57 minutes and σ = 10 minutes.

Which road should he choose if on Friday noon he must be at the airport within 50 minutes to pick up his wife?

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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