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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Probability the question is in the image

On average, computers suffer damage after 31000 hours of
continuous use. Although the time for the computer to crash is
random, researchers have found that the duration until the computer
crashes follows an exponential probability distribution.
a. What is the probability that the computer will fail with a usage time
of less than 31000 hours?
b. What is the probability that the computer will fail with a usage time
of more than 31000 hours?
c. What is the probability that no computer will fail after more than
31000 hours of use?
d. What do you think about the results of points b and c above! What
is the difference
e. What is the probability of a computer crash with a duration of use
between 31000 and 50000 hours?
f. What is the mean and standard deviation of the duration of the
computer crash?
Transcribed Image Text:On average, computers suffer damage after 31000 hours of continuous use. Although the time for the computer to crash is random, researchers have found that the duration until the computer crashes follows an exponential probability distribution. a. What is the probability that the computer will fail with a usage time of less than 31000 hours? b. What is the probability that the computer will fail with a usage time of more than 31000 hours? c. What is the probability that no computer will fail after more than 31000 hours of use? d. What do you think about the results of points b and c above! What is the difference e. What is the probability of a computer crash with a duration of use between 31000 and 50000 hours? f. What is the mean and standard deviation of the duration of the computer crash?
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