A Geiger-Mueller counting system has a resolving time of 275 s. Find the true rate at which the losses due to this dead time amount

A Geiger-Mueller counting system has a resolving time of 275 μs. Find the true rate at which the losses due to this dead time amount to half of all the true events (one could argue that this rate is roughly the maximum rate at which the tube can give reasonably reliable results.) Use both the paralyzable and nonparalyzable models to obtain two different predictions that probably bracket the actual value.