FailureDistribution
FailureDistribution[bexpr,{{x1,dist1},{x2,dist2},…}] represents the failure distribution for a system with events xi having reliability distribution disti where the top event occurs when the Boolean expression bexpr is True and event xi has occurred when xi is True.
Examples
(* Series system: fails if any component fails *)
FailureDistribution[x1 || x2, {
{x1, ExponentialDistribution[1/100]},
{x2, ExponentialDistribution[1/200]}
}]
(* Parallel system: fails only if all fail *)
FailureDistribution[x1 && x2, {
{x1, WeibullDistribution[2, 100]},
{x2, WeibullDistribution[2, 150]}
}]Please visit the official Wolfram Language Reference for more details.