# Telecommunication system statistics

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Subject: Telecommunication system statistics

Details: A unit for a telecommmunication system is to be designed so that the probability that it fails during a period of five years does not exceed 0.4. the unit is to be made up of (n) effectively identical componants each with an exponential failure distribution and a hazard rate of 2.5x(10 to power -7) per hour. the unit fails if any one of its (n) componants fails. estimate the maximum number of componants that can be used in one unit

https://brainmass.com/statistics/probability/telecommunication-system-statistics-18698

## SOLUTION This solution is **FREE** courtesy of BrainMass!

Exponential Failiure Rate in 5 years time = 2.5x(10 to power -7)*24*365*5 = .01095.

Let the number of component used be n ;

Hence : n *.01095 < .40

or n < 36.52

or rounding it down : n < 36.

https://brainmass.com/statistics/probability/telecommunication-system-statistics-18698