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.

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.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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Question

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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