Consider the seven-component system shown in given Figure. Assume that the time to failure for each component has an exponential distribution.
The failure rates are as follows: λA = 0.0005/hour, λB= 0.0005/hour, λC=0.0003/h, λD =0.0008/hour, λE = 0.0004/hour, λF=0.006/hour, and λG = 0.0064/hour.
Find the reliability of the system after 1000 hours. What is the mean time to failure of the system?