A machine is made up of four components connected in parallel. The probability that each component operates without failure during the next year is 0.80.
What is the probability that the machine operates without failure during the next year?
Since the components are connected in parallel, the system will fail only when all the four components fail
The system will not fail in case where 1, 2 or 3 components fail
Probability of all 4 components failing = 0.804 = 0.4096
Probability that the machine operates without failure = 1 - Probability of all 4 components failing = 1 - 0.4096 = 0.5904 or 59.04%
A machine is made up of four components connected in parallel. The probability that each component...