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
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.