Probability the question is in the image On average, computers suffer damage after 31000 hours ofcontinuous use. Although the time for the computer to crash israndom, researchers have found that the duration until the computercrashes follows an exponential probability distribution.a. What is the probability that the computer will fail with a usage timeof less than 31000 hours?b. What is the probability that the computer will fail with a usage timeof more than 31000 hours?c. What is the probability that no computer will fail after more than31000 hours of use?d. What do you think about the results of points b and c above! Whatis the differencee. What is the probability of a computer crash with a duration of usebetween 31000 and 50000 hours?f. What is the mean and standard deviation of the duration of thecomputer crash?

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Math

Statistics

robability the question is in the image

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

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?

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