Answered: Suppose that the recovery time from the…

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 the recovery time from the infection with a certain virus is normally distributed with a mean of 6.5 days and a standard deviation of 1.5 days. Answer each question.

Draw a graph illustrating the recovery time. Make sure to indicate 3 standard deviations from the mean.

P(X>7.3)=?

P(X <4.7)=?

P(5.1<X<7.7)=?

John's recovery time is lasting more than 9.2 days. Is it unusual (and should he be concerned yet)?

What is the middle 90% recovery time?

What is the 80%tile recovery time?

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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