Question

Five identical units are arranged in a standby redundant configuration to form a subsystem. Unit failure is independent. If the units have exponential time-to-failure distributions with failure rate 0.002, what is the probability the subsystem will live beyond 1,000 hours? Answer to three decimal places. exact number, no tolerance

Answer 1

probability a subc omponant will live beyond 1000 Hours =e^-0.002*1000 =0.135335

therefore subsystem will live beyond 1000 hours =P(at least one of 5 live beyond 1000 Hours )

=1-(1-0.135335)^5

=0.517