In this scenario we examine average playout rates and underflow probabilities for long programs streamed at the maximum available bandwidth of the channel. As in scenario 1, we compute the transition matrix P. Now, however, we assume that when the buffer underflows, playout halts and begins again after the client refills the buffer to the target level. Thus
Next, we simply find the stationary distribution, 
of the transition matrix P
or 
. The underflow probability is given as 
and the average playout rate, 
is calculated as:
