The times between the arrivals of successive particles at a counter generate an ordinary renewal process. Its random cycle length \(Y\) has distribution function \(F(t)\) and mean value \(\mu=E(Y)\). After having recorded 10 particles, the counter is blocked for \(\tau\) time units. Particles arriving during a blocked period are not registered.

What is the distribution function of the time from the end of a blocked period to the arrival of the first particle after this period if \(\tau \rightarrow \infty\) ?