Question

The lifetime of a component is distributed exponentially with parameter lamda=10^-3

a) find the probability that the lifetime will exceed its expected lifetime?

b)if the component is working at time 10^3 hours, find the probability that it will fail with next 10^3 hours

c) a system consists of two such components connected in series (i.e.,a component fails, the system fails). the components fail independently.

Both components are working at time 0. Find the probability that the lifetime of the system will exceed 10^3 hours.

Answer 1