A main-frame computer, that serves a network of terminals, is known to crash after an average of 44 hours. Suppose that you model the probability of failure of the main-frame by an exponential density function with a mean of 44 hours. (a) Using the exponential density function model, calculate the probability the mainframe will crash within the first 22 hours. Give your answer in exact (not decimal) form. (b) Calculate the median of the lifetime of the main-frame computer. Give your answer in exact (not decimal) form.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A main-frame computer, that serves a network of terminals, is known to crash after an average of 44 hours. Suppose
that you model the probability of failure of the main-frame by an exponential density function with a mean of 44 hours.
(a) Using the exponential density function model, calculate the probability the mainframe will crash within the first
22 hours. Give your answer in exact (not decimal) form.
(b) Calculate the median of the lifetime of the main-frame computer. Give your answer in exact (not decimal) form.
Transcribed Image Text:A main-frame computer, that serves a network of terminals, is known to crash after an average of 44 hours. Suppose that you model the probability of failure of the main-frame by an exponential density function with a mean of 44 hours. (a) Using the exponential density function model, calculate the probability the mainframe will crash within the first 22 hours. Give your answer in exact (not decimal) form. (b) Calculate the median of the lifetime of the main-frame computer. Give your answer in exact (not decimal) form.
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