A broadcasting station has five major subsystems that must all be operational before a show can go on the air. If each subsystem has the same reliability, $($Round your answers to $4$ decimal places.$)$

$($a$)$ What reliability would be required to be $68\%$ certain of broadcast success?

$($b$)$ What reliability would be required to be $58\%$ certain of broadcast success?

$($c$)$ What reliability would be required to be $87\%$ certain of broadcast success?

subsystem reliability

subsystem reliability

subsystem reliability