Answered: 6. Let X denote the lag time in 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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6. Let X denote the lag time in a printing queue at a particular computer center. That is, X denotes the difference
between the time that a program is placed in the queue and the time at which printing begins. Assume that X is
normally distributed with mean 15 minutes and variance 25.
(a) Find the probability that a program will reach the printer within 3 minutes of arriving in the queue.
(b) Would you be surprised if it took longer than 30 minutes for the program to reach the printer? Explain, based
on the probability of this occurring.

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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